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38097000085 = 5176110516991
BaseRepresentation
bin100011011110110000…
…100001011010010101
310122100001020010101011
4203132300201122111
51111010313000320
625300154532221
72516036105044
oct433660413225
9118301203334
1038097000085
111517a844041
127472737071
133791a3b401
141bb596255b
15ece8d505a
hex8dec21695

38097000085 has 32 divisors (see below), whose sum is σ = 49252990464. Its totient is φ = 28183680000.

The previous prime is 38097000079. The next prime is 38097000103. The reversal of 38097000085 is 58000079083.

38097000085 = T159366 + T159367 + T159368.

It is not a de Polignac number, because 38097000085 - 23 = 38097000077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5445940 + ... + 5452930.

It is an arithmetic number, because the mean of its divisors is an integer number (1539155952).

Almost surely, 238097000085 is an apocalyptic number.

38097000085 is the 159368-th centered triangular number.

It is an amenable number.

38097000085 is a deficient number, since it is larger than the sum of its proper divisors (11155990379).

38097000085 is a wasteful number, since it uses less digits than its factorization.

38097000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 38097000085 in words is "thirty-eight billion, ninety-seven million, eighty-five", and thus it is an aban number and an uban number.

Divisors: 1 5 17 61 85 305 1037 1051 5185 5255 6991 17867 34955 64111 89335 118847 320555 426451 594235 1089887 2132255 5449435 7249667 7347541 36248335 36737705 124908197 448200001 624540985 2241000005 7619400017 38097000085