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98263623665601 = 321072308812
BaseRepresentation
bin10110010101111011001000…
…011000100000011111000001
3110212220220120212220110021100
4112111323020120200133001
5100334422400124244401
6544553404023445013
726461212124624512
oct2625731030403701
9425826525813240
1098263623665601
1129345406917209
12b0301948b6769
1342aa2b2305a64
141a39db0286a09
15b560e06a2b86
hex595ec86207c1

98263623665601 has 27 divisors (see below), whose sum is σ = 143279890207363. Its totient is φ = 64894746514560.

The previous prime is 98263623665587. The next prime is 98263623665611. The reversal of 98263623665601 is 10656632636289.

The square root of 98263623665601 is 9912801.

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

98263623665601 is a `hidden beast` number, since 9 + 8 + 2 + 6 + 3 + 6 + 2 + 3 + 66 + 560 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95032257905601 + 3231365760000 = 9748449^2 + 1797600^2 .

It is not a de Polignac number, because 98263623665601 - 211 = 98263623663553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98263623665611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3181993681 + ... + 3182024561.

Almost surely, 298263623665601 is an apocalyptic number.

98263623665601 is the 9912801-st square number.

98263623665601 is the 4956401-st centered octagonal number.

It is an amenable number.

98263623665601 is a deficient number, since it is larger than the sum of its proper divisors (45016266541762).

98263623665601 is an frugal number, since it uses more digits than its factorization.

98263623665601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61982 (or 30991 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 98263623665601 in words is "ninety-eight trillion, two hundred sixty-three billion, six hundred twenty-three million, six hundred sixty-five thousand, six hundred one".

Divisors: 1 3 9 107 321 963 11449 30881 34347 92643 103041 277929 3304267 9912801 29738403 353556569 953636161 1060669707 2860908483 3182009121 8582725449 102039069227 306117207681 918351623043 10918180407289 32754541221867 98263623665601