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59027103534 = 23723143150617
BaseRepresentation
bin110110111110010010…
…100001111100101110
312122100200220112200210
4312332102201330232
51431341414303114
643041111403250
74156514046600
oct667622417456
9178320815623
1059027103534
11230402965a3
12b534083526
13574901c7c9
142bdd59d170
151807127259
hexdbe4a1f2e

59027103534 has 96 divisors (see below), whose sum is σ = 145055978496. Its totient is φ = 15941197440.

The previous prime is 59027103533. The next prime is 59027103547. The reversal of 59027103534 is 43530172095.

It is a happy number.

It is a super-2 number, since 2×590271035342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59027103492 and 59027103501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59027103533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316594 + ... + 467210.

It is an arithmetic number, because the mean of its divisors is an integer number (1510999776).

Almost surely, 259027103534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59027103534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72527989248).

59027103534 is an abundant number, since it is smaller than the sum of its proper divisors (86028874962).

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

59027103534 is a wasteful number, since it uses less digits than its factorization.

59027103534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150710 (or 150703 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 59027103534 in words is "fifty-nine billion, twenty-seven million, one hundred three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 43 49 62 86 93 98 129 147 186 217 258 294 301 434 602 651 903 1302 1333 1519 1806 2107 2666 3038 3999 4214 4557 6321 7998 9114 9331 12642 18662 27993 55986 65317 130634 150617 195951 301234 391902 451851 903702 1054319 2108638 3162957 4669127 6325914 6476531 7380233 9338254 12953062 14007381 14760466 19429593 22140699 28014762 32683889 38859186 44281398 45335717 65367778 90671434 98051667 136007151 196103334 200772461 228787223 272014302 317350019 401544922 457574446 602317383 634700038 686361669 952050057 1204634766 1372723338 1405407227 1904100114 2810814454 4216221681 8432443362 9837850589 19675701178 29513551767 59027103534