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5157646064 = 2419671311933
BaseRepresentation
bin1001100110110101…
…10110111011110000
3111022110000120022022
410303122312323300
541030324133224
62211442131012
7241545160664
oct46332667360
914273016268
105157646064
1122073a190a
12bbb350a68
13642706a9c
1436cdba8a4
15202be665e
hex1336b6ef0

5157646064 has 80 divisors (see below), whose sum is σ = 10762942080. Its totient is φ = 2387024640.

The previous prime is 5157646057. The next prime is 5157646069. The reversal of 5157646064 is 4606467515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157646069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667242 + ... + 2669174.

It is an arithmetic number, because the mean of its divisors is an integer number (134536776).

Almost surely, 25157646064 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 5157646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381471040).

5157646064 is an abundant number, since it is smaller than the sum of its proper divisors (5605296016).

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

5157646064 is a wasteful number, since it uses less digits than its factorization.

5157646064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 5157646064 is about 71816.7533657711. The cubic root of 5157646064 is about 1727.7617108974.

The spelling of 5157646064 in words is "five billion, one hundred fifty-seven million, six hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 67 76 131 134 152 262 268 304 524 536 1048 1072 1273 1933 2096 2489 2546 3866 4978 5092 7732 8777 9956 10184 15464 17554 19912 20368 30928 35108 36727 39824 70216 73454 129511 140432 146908 166763 253223 259022 293816 333526 506446 518044 587632 667052 1012892 1036088 1334104 2025784 2072176 2460709 2668208 4051568 4811237 4921418 9622474 9842836 16965941 19244948 19685672 33931882 38489896 39371344 67863764 76979792 135727528 271455056 322352879 644705758 1289411516 2578823032 5157646064