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16931802640 = 245474503139
BaseRepresentation
bin11111100010011011…
…01100111000010000
31121201000011200201111
433301031230320100
5234134020141030
611440043143104
71136404643044
oct176115547020
947630150644
1016931802640
1171a9619a25
123346514a94
13179ab3623c
14b68a0a024
1569170562a
hex3f136ce10

16931802640 has 40 divisors (see below), whose sum is σ = 40204033920. Its totient is φ = 6628619136.

The previous prime is 16931802637. The next prime is 16931802661. The reversal of 16931802640 is 4620813961.

16931802640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×169318026403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16931802593 and 16931802602.

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 7 ways as a sum of consecutive naturals, for example, 2247810 + ... + 2255329.

It is an arithmetic number, because the mean of its divisors is an integer number (1005100848).

Almost surely, 216931802640 is an apocalyptic number.

16931802640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16931802640 is an abundant number, since it is smaller than the sum of its proper divisors (23272231280).

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

16931802640 is a wasteful number, since it uses less digits than its factorization.

16931802640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503199 (or 4503193 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 16931802640 in words is "sixteen billion, nine hundred thirty-one million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 4503139 9006278 18012556 22515695 36025112 45031390 72050224 90062780 180125560 211647533 360251120 423295066 846590132 1058237665 1693180264 2116475330 3386360528 4232950660 8465901320 16931802640