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86941737025 = 521113173494099
BaseRepresentation
bin101000011111000100…
…0011010000001000001
322022102010012212000021
41100332020122001001
52411024041041100
6103535051053441
76165332366653
oct1207610320101
9268363185007
1086941737025
1133965386930
1214a24741281
13827734b610
1442caa8a6d3
1523dcb29a1a
hex143e21a041

86941737025 has 96 divisors (see below), whose sum is σ = 134522640000. Its totient is φ = 54762393600.

The previous prime is 86941737019. The next prime is 86941737031. The reversal of 86941737025 is 52073714968.

It is an interprime number because it is at equal distance from previous prime (86941737019) and next prime (86941737031).

It is not a de Polignac number, because 86941737025 - 25 = 86941736993 is a prime.

It is a super-3 number, since 3×869417370253 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21208426 + ... + 21212524.

It is an arithmetic number, because the mean of its divisors is an integer number (1401277500).

It is a 1-persistent number, because it is pandigital, but 2⋅86941737025 = 173883474050 is not.

Almost surely, 286941737025 is an apocalyptic number.

86941737025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86941737025 is a deficient number, since it is larger than the sum of its proper divisors (47580902975).

86941737025 is a wasteful number, since it uses less digits than its factorization.

86941737025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 86941737025 in words is "eighty-six billion, nine hundred forty-one million, seven hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 11 13 17 25 55 65 85 143 187 221 275 325 349 425 715 935 1105 1745 2431 3575 3839 4099 4537 4675 5525 5933 8725 12155 19195 20495 22685 29665 45089 49907 53287 60775 65263 69683 77129 95975 102475 113425 148325 225445 249535 266435 326315 348415 385645 586157 766513 848419 905879 1127225 1247675 1332175 1430551 1631575 1742075 1928225 2930785 3832565 4242095 4529395 7152755 9964669 14653925 15736061 18597163 19162825 21210475 22646975 24319367 35763775 49823345 78680305 92985815 121596835 204568793 249116725 267513037 316151771 393401525 464929075 607984175 1022843965 1337565185 1580758855 3477669481 5114219825 6687825925 7903794275 17388347405 86941737025