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96104041634448 = 2434611215645133
BaseRepresentation
bin10101110110011111110111…
…010000110101101010010000
3110121021110022220022110210000
4111312133313100311222100
5100044032034124300243
6540221330502010000
726146200512344341
oct2566376720655220
9417243286273700
1096104041634448
112869254a091471
12a941735116900
134181759298123
1419a36636040c8
15b19d4779a5d3
hex5767f7435a90

96104041634448 has 100 divisors (see below), whose sum is σ = 282712863653308. Its totient is φ = 31509521821440.

The previous prime is 96104041634413. The next prime is 96104041634449. The reversal of 96104041634448 is 84443614040169.

96104041634448 is a `hidden beast` number, since 9 + 61 + 0 + 40 + 41 + 63 + 4 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28162465876224 + 67941575758224 = 5306832^2 + 8242668^2 .

It is a super-2 number, since 2×961040416344482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96104041634394 and 96104041634403.

It is not an unprimeable number, because it can be changed into a prime (96104041634449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 607743511 + ... + 607901622.

Almost surely, 296104041634448 is an apocalyptic number.

It is an amenable number.

96104041634448 is an abundant number, since it is smaller than the sum of its proper divisors (186608822018860).

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

96104041634448 is a wasteful number, since it uses less digits than its factorization.

96104041634448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215645214 (or 1215645199 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 96104041634448 in words is "ninety-six trillion, one hundred four billion, forty-one million, six hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 39528 79056 1215645133 2431290266 3646935399 4862580532 7293870798 9725161064 10940806197 14587741596 19450322128 21881612394 29175483192 32822418591 43763224788 58350966384 65644837182 74154353113 87526449576 98467255773 131289674364 148308706226 175052899152 196934511546 222463059339 262579348728 296617412452 393869023092 444926118678 525158697456 593234824904 667389178017 787738046184 889852237356 1186469649808 1334778356034 1575476092368 1779704474712 2002167534051 2669556712068 3559408949424 4004335068102 5339113424136 6006502602153 8008670136204 10678226848272 12013005204306 16017340272408 24026010408612 32034680544816 48052020817224 96104041634448