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96088056480 = 25325135132909
BaseRepresentation
bin101100101111101001…
…0110110001010100000
3100012000112122000120200
41121133102312022200
53033242020301410
6112050420305200
76641103001233
oct1313722661240
9305015560520
1096088056480
1137829226029
1216757842200
1390a420c470
1449176ad41a
152775aaa3c0
hex165f4b62a0

96088056480 has 144 divisors (see below), whose sum is σ = 353123676360. Its totient is φ = 23652440064.

The previous prime is 96088056461. The next prime is 96088056487. The reversal of 96088056480 is 8465088069.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50662807056 + 45425249424 = 225084^2 + 213132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96088056487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2547735 + ... + 2585174.

Almost surely, 296088056480 is an apocalyptic number.

96088056480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96088056480 is an abundant number, since it is smaller than the sum of its proper divisors (257035619880).

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

96088056480 is a wasteful number, since it uses less digits than its factorization.

96088056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132943 (or 5132932 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 96088056480 in words is "ninety-six billion, eighty-eight million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 5132909 10265818 15398727 20531636 25664545 30797454 41063272 46196181 51329090 61594908 66727817 76993635 82126544 92392362 102658180 123189816 133455634 153987270 164253088 184784724 200183451 205316360 230980905 246379632 266911268 307974540 333639085 369569448 400366902 410632720 461961810 492759264 533822536 600550353 615949080 667278170 739138896 800733804 821265440 923923620 1000917255 1067645072 1201100706 1231898160 1334556340 1478277792 1601467608 1847847240 2001834510 2135290144 2402201412 2463796320 2669112680 3002751765 3202935216 3695694480 4003669020 4804402824 5338225360 6005503530 6405870432 7391388960 8007338040 9608805648 10676450720 12011007060 16014676080 19217611296 24022014120 32029352160 48044028240 96088056480