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5155006624 = 2547103107311
BaseRepresentation
bin1001100110100001…
…10010100010100000
3111022021001110200021
410303100302202200
541024140202444
62211305403224
7241513555555
oct46320624240
914267043607
105155006624
112205959859
12bba499514
13641cc15a1
1436c8d0a2c
15202874584
hex1334328a0

5155006624 has 96 divisors (see below), whose sum is σ = 10597257216. Its totient is φ = 2466865920.

The previous prime is 5155006607. The next prime is 5155006631. The reversal of 5155006624 is 4266005515.

It is a self number, because there is not a number n which added to its sum of digits gives 5155006624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16575429 + ... + 16575739.

It is an arithmetic number, because the mean of its divisors is an integer number (110388096).

Almost surely, 25155006624 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 5155006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298628608).

5155006624 is an abundant number, since it is smaller than the sum of its proper divisors (5442250592).

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

5155006624 is a wasteful number, since it uses less digits than its factorization.

5155006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 5155006624 is about 71798.3748005482. The cubic root of 5155006624 is about 1727.4669316219.

The spelling of 5155006624 in words is "five billion, one hundred fifty-five million, six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 94 103 107 188 206 214 311 376 412 428 622 752 824 856 1244 1504 1648 1712 2488 3296 3424 4841 4976 5029 9682 9952 10058 11021 14617 19364 20116 22042 29234 32033 33277 38728 40232 44084 58468 64066 66554 77456 80464 88168 116936 128132 133108 154912 160928 176336 233872 256264 266216 352672 467744 512528 517987 532432 1025056 1035974 1064864 1505551 1564019 2071948 3011102 3128038 3427531 4143896 6022204 6256076 6855062 8287792 12044408 12512152 13710124 16575584 24088816 25024304 27420248 48177632 50048608 54840496 109680992 161093957 322187914 644375828 1288751656 2577503312 5155006624