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13223703864 = 23371134611511
BaseRepresentation
bin11000101000011000…
…11011010100111000
31021010120201202110210
430110030123110320
5204040232010424
610024101511120
7645460425330
oct142414332470
937116652423
1013223703864
115676488488
1226907124a0
131329838257
148d635c0c0
15525dde729
hex31431b538

13223703864 has 128 divisors (see below), whose sum is σ = 38224327680. Its totient is φ = 3734169600.

The previous prime is 13223703859. The next prime is 13223703901. The reversal of 13223703864 is 46830732231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8750869 + ... + 8752379.

It is an arithmetic number, because the mean of its divisors is an integer number (298627560).

Almost surely, 213223703864 is an apocalyptic number.

13223703864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223703864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112163840).

13223703864 is an abundant number, since it is smaller than the sum of its proper divisors (25000623816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13223703864 is a wasteful number, since it uses less digits than its factorization.

13223703864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13223703864 in words is "thirteen billion, two hundred twenty-three million, seven hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 461 678 791 904 922 1356 1383 1511 1582 1844 2373 2712 2766 3022 3164 3227 3688 4533 4746 5532 6044 6328 6454 9066 9492 9681 10577 11064 12088 12908 18132 18984 19362 21154 25816 31731 36264 38724 42308 52093 63462 77448 84616 104186 126924 156279 170743 208372 253848 312558 341486 364651 416744 512229 625116 682972 696571 729302 1024458 1093953 1195201 1250232 1365944 1393142 1458604 2048916 2089713 2187906 2390402 2786284 2917208 3585603 4097832 4179426 4375812 4780804 4875997 5572568 7171206 8358852 8751624 9561608 9751994 14342412 14627991 16717704 19503988 28684824 29255982 39007976 58511964 78712523 117023928 157425046 236137569 314850092 472275138 550987661 629700184 944550276 1101975322 1652962983 1889100552 2203950644 3305925966 4407901288 6611851932 13223703864