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16130113632 = 253318669113
BaseRepresentation
bin11110000010110111…
…00000000001100000
31112122010122200011000
433001123200001200
5231013302114012
611224324152000
71110501463233
oct170133400140
945563580130
1016130113632
116928035126
123161b38600
1316a0a11649
14ad036141a
15646147ddc
hex3c16e0060

16130113632 has 48 divisors (see below), whose sum is σ = 47046167280. Its totient is φ = 5376704256.

The previous prime is 16130113619. The next prime is 16130113639. The reversal of 16130113632 is 23631103161.

16130113632 is a `hidden beast` number, since 1 + 6 + 13 + 0 + 1 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16130113596 and 16130113605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16130113639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9333693 + ... + 9335420.

It is an arithmetic number, because the mean of its divisors is an integer number (980128485).

Almost surely, 216130113632 is an apocalyptic number.

16130113632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16130113632 is an abundant number, since it is smaller than the sum of its proper divisors (30916053648).

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

16130113632 is a wasteful number, since it uses less digits than its factorization.

16130113632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18669132 (or 18669118 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 16130113632 its reverse (23631103161), we get a palindrome (39761216793).

The spelling of 16130113632 in words is "sixteen billion, one hundred thirty million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 18669113 37338226 56007339 74676452 112014678 149352904 168022017 224029356 298705808 336044034 448058712 504066051 597411616 672088068 896117424 1008132102 1344176136 1792234848 2016264204 2688352272 4032528408 5376704544 8065056816 16130113632