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57103650736 = 24118310935863
BaseRepresentation
bin110101001011101001…
…001000111110110000
312110101122121000111021
4311023221020332300
51413422013310421
642122201225224
74061040010516
oct651351107660
9173348530437
1057103650736
1122243581a90
12b097a92214
135500697062
142a99d4c4b6
151743335341
hexd4ba48fb0

57103650736 has 80 divisors (see below), whose sum is σ = 123274609920. Its totient is φ = 25407509760.

The previous prime is 57103650731. The next prime is 57103650749. The reversal of 57103650736 is 63705630175.

It is a happy number.

57103650736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57103650692 and 57103650701.

It is not an unprimeable number, because it can be changed into a prime (57103650731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574341 + ... + 1610203.

It is an arithmetic number, because the mean of its divisors is an integer number (1540932624).

Almost surely, 257103650736 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 57103650736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61637304960).

57103650736 is an abundant number, since it is smaller than the sum of its proper divisors (66170959184).

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

57103650736 is a wasteful number, since it uses less digits than its factorization.

57103650736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36074 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 43.

The spelling of 57103650736 in words is "fifty-seven billion, one hundred three million, six hundred fifty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 83 88 109 166 176 218 332 436 664 872 913 1199 1328 1744 1826 2398 3652 4796 7304 9047 9592 14608 18094 19184 35863 36188 71726 72376 99517 143452 144752 199034 286904 394493 398068 573808 788986 796136 1577972 1592272 2976629 3155944 3909067 5953258 6311888 7818134 11906516 15636268 23813032 31272536 32742919 42999737 47626064 62545072 65485838 85999474 130971676 171998948 261943352 324452561 343997896 523886704 648905122 687995792 1297810244 2595620488 3568978171 5191240976 7137956342 14275912684 28551825368 57103650736