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98609825341504 = 26432288672
BaseRepresentation
bin10110011010111101100011…
…100111000110000001000000
3110221011000012021102210112001
4112122331203213012001000
5100411110410241412004
6545420421155113344
726525216253413551
oct2632754347060100
9427130167383461
1098609825341504
112946921271a434
12b0872b2ba2854
134303b35ca5a19
141a4ca534a2328
15b6010401c1a4
hex59af639c6040

98609825341504 has 63 divisors (see below), whose sum is σ = 200342313360927. Its totient is φ = 48156618513024.

The previous prime is 98609825341457. The next prime is 98609825341507. The reversal of 98609825341504 is 40514352890689.

The square root of 98609825341504 is 9930248.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98609825341507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3415990879 + ... + 3416019745.

Almost surely, 298609825341504 is an apocalyptic number.

98609825341504 is the 9930248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98609825341504

98609825341504 is an abundant number, since it is smaller than the sum of its proper divisors (101732488019423).

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

98609825341504 is an frugal number, since it uses more digits than its factorization.

98609825341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57832 (or 28912 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 64.

98609825341504 divided by its sum of digits (64) gives a square (1540778520961 = 12412812).

The spelling of 98609825341504 in words is "ninety-eight trillion, six hundred nine billion, eight hundred twenty-five million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 14792 28867 29584 57734 59168 115468 118336 230936 461872 923744 1241281 1847488 2482562 4965124 9930248 19860496 39720992 53375083 79441984 106750166 213500332 427000664 833303689 854001328 1666607378 1708002656 3333214756 3416005312 6666429512 13332859024 26665718048 35832058627 53331436096 71664117254 143328234508 286656469016 573312938032 1146625876064 1540778520961 2293251752128 3081557041922 6163114083844 12326228167688 24652456335376 49304912670752 98609825341504