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91142297352 = 23324727572
BaseRepresentation
bin101010011100010000…
…0010001011100001000
322201020212022102111200
41110320200101130020
52443124412003402
6105511543424200
76404406513351
oct1247040213410
9281225272450
1091142297352
11357204a5a97
12157b7455060
138796692382
1445a88cad28
1525867ba21c
hex1538811708

91142297352 has 108 divisors (see below), whose sum is σ = 252541067805. Its totient is φ = 29695087296.

The previous prime is 91142297347. The next prime is 91142297369. The reversal of 91142297352 is 25379224119.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

91142297352 is a `hidden beast` number, since 9 + 1 + 1 + 4 + 2 + 297 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89859654756 + 1282642596 = 299766^2 + 35814^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=213474.

Its product of digits (272160) is a multiple of the sum of its prime factors (1620).

It is a junction number, because it is equal to n+sod(n) for n = 91142297298 and 91142297307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120398958 + ... + 120399714.

Almost surely, 291142297352 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 91142297352

91142297352 is an abundant number, since it is smaller than the sum of its proper divisors (161398770453).

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

91142297352 is an equidigital number, since it uses as much as digits as its factorization.

91142297352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 809 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 91142297352 in words is "ninety-one billion, one hundred forty-two million, two hundred ninety-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 757 846 1128 1514 1692 2209 2271 3028 3384 4418 4542 6056 6627 6813 8836 9084 13254 13626 17672 18168 19881 26508 27252 35579 39762 53016 54504 71158 79524 106737 142316 159048 213474 284632 320211 426948 573049 640422 853896 1146098 1280844 1672213 1719147 2292196 2561688 3344426 3438294 4584392 5016639 5157441 6688852 6876588 10033278 10314882 13377704 13753176 15049917 20066556 20629764 26933303 30099834 40133112 41259528 53866606 60199668 80799909 107733212 120399336 161599818 215466424 242399727 323199636 484799454 646399272 969598908 1265865241 1939197816 2531730482 3797595723 5063460964 7595191446 10126921928 11392787169 15190382892 22785574338 30380765784 45571148676 91142297352