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20103768792 = 23322324734909
BaseRepresentation
bin10010101110010001…
…110010101011011000
31220220001210021021100
4102232101302223120
5312133031100132
613122513311400
71311122133552
oct225621625330
956801707240
1020103768792
118587065058
123a90865560
131b8503a9a3
14d89db84d2
157c9e1737c
hex4ae472ad8

20103768792 has 96 divisors (see below), whose sum is σ = 56849551200. Its totient is φ = 6406000128.

The previous prime is 20103768791. The next prime is 20103768847. The reversal of 20103768792 is 29786730102.

20103768792 is a `hidden beast` number, since 201 + 0 + 376 + 8 + 79 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103768791) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4092834 + ... + 4097742.

It is an arithmetic number, because the mean of its divisors is an integer number (592182825).

Almost surely, 220103768792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103768792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28424775600).

20103768792 is an abundant number, since it is smaller than the sum of its proper divisors (36745782408).

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

20103768792 is a wasteful number, since it uses less digits than its factorization.

20103768792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20103768792 in words is "twenty billion, one hundred three million, seven hundred sixty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2473 4909 4946 7419 9818 9892 14727 14838 19636 19784 22257 29454 29676 39272 44181 44514 56879 58908 59352 88362 89028 112907 113758 117816 170637 176724 178056 225814 227516 338721 341274 353448 451628 455032 511911 677442 682548 903256 1016163 1023822 1354884 1365096 2032326 2047644 2709768 4064652 4095288 8129304 12139957 24279914 36419871 48559828 72839742 97119656 109259613 145679484 218519226 279219011 291358968 437038452 558438022 837657033 874076904 1116876044 1675314066 2233752088 2512971099 3350628132 5025942198 6701256264 10051884396 20103768792