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91022864040 = 233251714873017
BaseRepresentation
bin101010011000101100…
…0101010111010101000
322200221112120120210200
41110301120222322220
52442403323122130
6105452035512200
76401426402313
oct1246130527250
9280845516720
1091022864040
113566a040a79
1215783458660
138777a06384
144596abb97a
15257b077760
hex153162aea8

91022864040 has 96 divisors (see below), whose sum is σ = 313225759080. Its totient is φ = 22844952576.

The previous prime is 91022864033. The next prime is 91022864047. The reversal of 91022864040 is 4046822019.

91022864040 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 2 + 8 + 640 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91022864033) and next prime (91022864047).

It can be written as a sum of positive squares in 4 ways, for example, as 69313199076 + 21709664964 = 263274^2 + 147342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91022863986 and 91022864004.

It is not an unprimeable number, because it can be changed into a prime (91022864047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7430389 + ... + 7442628.

Almost surely, 291022864040 is an apocalyptic number.

91022864040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91022864040 is an abundant number, since it is smaller than the sum of its proper divisors (222202895040).

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

91022864040 is a wasteful number, since it uses less digits than its factorization.

91022864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873051 (or 14873044 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 91022864040 in words is "ninety-one billion, twenty-two million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 14873017 29746034 44619051 59492068 74365085 89238102 118984136 133857153 148730170 178476204 223095255 252841289 267714306 297460340 356952408 446190510 505682578 535428612 594920680 669285765 758523867 892381020 1011365156 1070857224 1264206445 1338571530 1517047734 1784762040 2022730312 2275571601 2528412890 2677143060 3034095468 3792619335 4551143202 5056825780 5354286120 6068190936 7585238670 9102286404 10113651560 11377858005 15170477340 18204572808 22755716010 30340954680 45511432020 91022864040