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88256390016 = 273733313553
BaseRepresentation
bin101001000110001111…
…1011010001110000000
322102210201222010212210
41102030133122032000
52421222113440031
6104313332422120
76243034636344
oct1221437321600
9272721863783
1088256390016
113447a482103
1215130a77940
138426816cb2
1443b3503624
152468261746
hex148c7da380

88256390016 has 64 divisors (see below), whose sum is σ = 234751608720. Its totient is φ = 29378568192.

The previous prime is 88256389919. The next prime is 88256390017. The reversal of 88256390016 is 61009365288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88256390017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124696 + ... + 438248.

Almost surely, 288256390016 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 88256390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117375804360).

88256390016 is an abundant number, since it is smaller than the sum of its proper divisors (146495218704).

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

88256390016 is a wasteful number, since it uses less digits than its factorization.

88256390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314303 (or 314291 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 88256390016 in words is "eighty-eight billion, two hundred fifty-six million, three hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 733 1466 2199 2932 4398 5864 8796 11728 17592 23456 35184 46912 70368 93824 140736 281472 313553 627106 940659 1254212 1881318 2508424 3762636 5016848 7525272 10033696 15050544 20067392 30101088 40134784 60202176 120404352 229834349 459668698 689503047 919337396 1379006094 1838674792 2758012188 3677349584 5516024376 7354699168 11032048752 14709398336 22064097504 29418796672 44128195008 88256390016