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91490950152 = 233274529241
BaseRepresentation
bin101010100110101001…
…0010001110000001000
322202011011100211020100
41111031102101300020
52444333140401102
6110010320325400
76416142150000
oct1251522216010
9282134324210
1091490950152
113588a28aaa8
1215894173860
1388209962c4
1445dcd27000
1525a71d9a1c
hex154d491c08

91490950152 has 120 divisors (see below), whose sum is σ = 289069334190. Its totient is φ = 26140222080.

The previous prime is 91490950129. The next prime is 91490950153. The reversal of 91490950152 is 25105909419.

91490950152 is a `hidden beast` number, since 9 + 1 + 4 + 90 + 9 + 501 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87998849316 + 3492100836 = 296646^2 + 59094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 91490950098 and 91490950107.

It is not an unprimeable number, because it can be changed into a prime (91490950153) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 91749 + ... + 437492.

Almost surely, 291490950152 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 91490950152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144534667095).

91490950152 is an abundant number, since it is smaller than the sum of its proper divisors (197578384038).

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

91490950152 is a wasteful number, since it uses less digits than its factorization.

91490950152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529281 (or 529253 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 91490950152 in words is "ninety-one billion, four hundred ninety million, nine hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24696 28812 43218 57624 86436 172872 529241 1058482 1587723 2116964 3175446 3704687 4233928 4763169 6350892 7409374 9526338 11114061 12701784 14818748 19052676 22228122 25932809 29637496 33342183 38105352 44456244 51865618 66684366 77798427 88912488 103731236 133368732 155596854 181529663 207462472 233395281 266737464 311193708 363059326 466790562 544588989 622387416 726118652 933581124 1089177978 1270707641 1452237304 1633766967 1867162248 2178355956 2541415282 3267533934 3812122923 4356711912 5082830564 6535067868 7624245846 10165661128 11436368769 13070135736 15248491692 22872737538 30496983384 45745475076 91490950152