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190873712640 = 21135132916481
BaseRepresentation
bin1011000111000011110…
…1011011100000000000
3200020200022120020210110
42301300331123200000
511111402132301030
6223404114031320
716535012534142
oct2616075334000
9606608506713
10190873712640
1173a49264456
1230bab278540
1314ccb653240
149349dd4c92
154e7214e1b0
hex2c70f5b800

190873712640 has 384 divisors, whose sum is σ = 680337403200. Its totient is φ = 45361397760.

The previous prime is 190873712573. The next prime is 190873712641. The reversal of 190873712640 is 46217378091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 190873712640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190873712641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11573200 + ... + 11589680.

Almost surely, 2190873712640 is an apocalyptic number.

190873712640 is a gapful number since it is divisible by the number (10) 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 190873712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340168701600).

190873712640 is an abundant number, since it is smaller than the sum of its proper divisors (489463690560).

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

190873712640 is a wasteful number, since it uses less digits than its factorization.

190873712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16533 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 190873712640 in words is "one hundred ninety billion, eight hundred seventy-three million, seven hundred twelve thousand, six hundred forty".