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87106756408 = 2373188756569
BaseRepresentation
bin101000100011111110…
…1111001111100111000
322022211121201201001021
41101013331321330320
52411343312201113
6104003304032224
76202405133020
oct1210775717470
9268747651037
1087106756408
1133a3a547391
1214a6ba62674
1382a25a8919
144304964a80
1523ec37448d
hex1447f79f38

87106756408 has 64 divisors (see below), whose sum is σ = 192899174400. Its totient is φ = 36085858560.

The previous prime is 87106756381. The next prime is 87106756423. The reversal of 87106756408 is 80465760178.

It is a congruent number.

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, 1511548 + ... + 1568116.

It is an arithmetic number, because the mean of its divisors is an integer number (3014049600).

Almost surely, 287106756408 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 87106756408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96449587200).

87106756408 is an abundant number, since it is smaller than the sum of its proper divisors (105792417992).

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

87106756408 is a wasteful number, since it uses less digits than its factorization.

87106756408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57500 (or 57496 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 87106756408 in words is "eighty-seven billion, one hundred six million, seven hundred fifty-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 887 1736 1774 3548 6209 7096 12418 24836 27497 49672 54994 56569 109988 113138 192479 219976 226276 384958 395983 452552 769916 791966 1539832 1583932 1753639 3167864 3507278 7014556 12275473 14029112 24550946 49101892 50176703 98203784 100353406 200706812 351236921 401413624 702473842 1404947684 1555477793 2809895368 3110955586 6221911172 10888344551 12443822344 21776689102 43553378204 87106756408