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10038116484 = 2234112816531
BaseRepresentation
bin10010101100101000…
…11000000010000100
3221220120111011010000
421112110120002010
5131024224211414
64340023401300
7503516403504
oct112624300204
927816434100
1010038116484
114291289540
121b418b3230
13c3c8748c6
146b3245a04
153db3dbb09
hex256518084

10038116484 has 60 divisors (see below), whose sum is σ = 28627231248. Its totient is φ = 3041852400.

The previous prime is 10038116443. The next prime is 10038116503. The reversal of 10038116484 is 48461183001.

It is a happy number.

10038116484 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 1 + 1 + 648 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1404702 + ... + 1411829.

Almost surely, 210038116484 is an apocalyptic number.

It is an amenable number.

10038116484 is an abundant number, since it is smaller than the sum of its proper divisors (18589114764).

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

10038116484 is a wasteful number, since it uses less digits than its factorization.

10038116484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816558 (or 2816547 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 10038116484 its reverse (48461183001), we get a palindrome (58499299485).

The spelling of 10038116484 in words is "ten billion, thirty-eight million, one hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 2816531 5633062 8449593 11266124 16899186 25348779 30981841 33798372 50697558 61963682 76046337 92945523 101395116 123927364 152092674 185891046 228139011 278836569 304185348 371782092 456278022 557673138 836509707 912556044 1115346276 1673019414 2509529121 3346038828 5019058242 10038116484