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96152035029312 = 2632329537373369
BaseRepresentation
bin10101110111001100100011…
…111001000111000101000000
3110121110001012122100112122010
4111313030203321013011000
5100100323331431414222
6540255345103012520
726152520030435343
oct2567144371070500
9417401178315563
1096152035029312
1128700938106369
12a94aaa9b9a140
1341861373ba222
1419a5ad763a45a
15b1b205dc580c
hex577323e47140

96152035029312 has 112 divisors (see below), whose sum is σ = 265553159276160. Its totient is φ = 30646784729088.

The previous prime is 96152035029307. The next prime is 96152035029409. The reversal of 96152035029312 is 21392053025169.

It is a happy number.

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

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, 9353764 + ... + 16727132.

It is an arithmetic number, because the mean of its divisors is an integer number (2371010350680).

Almost surely, 296152035029312 is an apocalyptic number.

96152035029312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96152035029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132776579638080).

96152035029312 is an abundant number, since it is smaller than the sum of its proper divisors (169401124246848).

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

96152035029312 is a wasteful number, since it uses less digits than its factorization.

96152035029312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376360 (or 7376350 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 96152035029312 in words is "ninety-six trillion, one hundred fifty-two billion, thirty-five million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2953 4416 5906 8859 11812 17718 23624 35436 47248 67919 70872 94496 135838 141744 188992 203757 271676 283488 407514 543352 566976 815028 1086704 1630056 2173408 3260112 4346816 6520224 7373369 13040448 14746738 22120107 29493476 44240214 58986952 88480428 117973904 169587487 176960856 235947808 339174974 353921712 471895616 508762461 678349948 707843424 1017524922 1356699896 1415686848 2035049844 2713399792 4070099688 5426799584 8140199376 10853599168 16280398752 21773558657 32560797504 43547117314 65320675971 87094234628 130641351942 174188469256 261282703884 348376938512 500791849111 522565407768 696753877024 1001583698222 1045130815536 1393507754048 1502375547333 2003167396444 2090261631072 3004751094666 4006334792888 4180523262144 6009502189332 8012669585776 12019004378664 16025339171552 24038008757328 32050678343104 48076017514656 96152035029312