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5157625640 = 235296172889
BaseRepresentation
bin1001100110110101…
…10001111100101000
3111022102222112021212
410303122301330220
541030323010030
62211441452252
7241545044306
oct46332617450
914272875255
105157625640
112207388532
12bbb341088
136426ca6bb
1436cdb3276
15202be0595
hex1336b1f28

5157625640 has 64 divisors (see below), whose sum is σ = 12201786000. Its totient is φ = 1959229440.

The previous prime is 5157625621. The next prime is 5157625661. The reversal of 5157625640 is 465267515.

It can be written as a sum of positive squares in 8 ways, for example, as 1981852324 + 3175773316 = 44518^2 + 56354^2 .

It is a super-2 number, since 2×51576256402 = 53202204484770819200, which 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, 34316 + ... + 107204.

Almost surely, 25157625640 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 5157625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100893000).

5157625640 is an abundant number, since it is smaller than the sum of its proper divisors (7044160360).

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

5157625640 is a wasteful number, since it uses less digits than its factorization.

5157625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72990 (or 72986 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The square root of 5157625640 is about 71816.6111703971. The cubic root of 5157625640 is about 1727.7594302801.

The spelling of 5157625640 in words is "five billion, one hundred fifty-seven million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3538 7076 8845 14152 17690 35380 70760 72889 145778 291556 364445 583112 728890 1457780 2113781 2915560 4227562 4446229 8455124 8892458 10568905 16910248 17784916 21137810 22231145 35569832 42275620 44462290 84551240 88924580 128940641 177849160 257881282 515762564 644703205 1031525128 1289406410 2578812820 5157625640