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5040976189056 = 27337361956857
BaseRepresentation
bin100100101011011000110…
…0110000101011010000000
3122211220122022001012112220
41021112301212011122000
51130042404401022211
614415443102251040
71030125042423153
oct111266146053200
918756568035486
105040976189056
111673958705915
12694b84886a80
132a7492467a92
14135dad863c9a
158b1d9c84806
hex495b1985680

5040976189056 has 128 divisors (see below), whose sum is σ = 13447917700800. Its totient is φ = 1673083772928.

The previous prime is 5040976189019. The next prime is 5040976189087. The reversal of 5040976189056 is 6509816790405.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50409761890562 (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 88632180 + ... + 88689036.

Almost surely, 25040976189056 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 5040976189056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723958850400).

5040976189056 is an abundant number, since it is smaller than the sum of its proper divisors (8406941511744).

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

5040976189056 is a wasteful number, since it uses less digits than its factorization.

5040976189056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57866 (or 57854 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 5040976189056 in words is "five trillion, forty billion, nine hundred seventy-six million, one hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 619 746 1119 1238 1492 1857 2238 2476 2984 3714 4476 4952 5968 7428 8952 9904 11936 14856 17904 19808 23872 29712 35808 39616 47744 56857 59424 71616 79232 113714 118848 143232 170571 227428 230887 237696 341142 454856 461774 682284 692661 909712 923548 1364568 1385322 1819424 1847096 2729136 2770644 3638848 3694192 5458272 5541288 7277696 7388384 10916544 11082576 14776768 21207661 21833088 22165152 29553536 35194483 42415322 44330304 63622983 70388966 84830644 88660608 105583449 127245966 140777932 169661288 211166898 254491932 281555864 339322576 422333796 508983864 563111728 678645152 844667592 1017967728 1126223456 1357290304 1689335184 2035935456 2252446912 2714580608 3378670368 4071870912 4504893824 6757340736 8143741824 13127542159 13514681472 26255084318 39382626477 52510168636 78765252954 105020337272 157530505908 210040674544 315061011816 420081349088 630122023632 840162698176 1260244047264 1680325396352 2520488094528 5040976189056