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91022864004 = 223273107323699
BaseRepresentation
bin101010011000101100…
…0101010111010000100
322200221112120120202100
41110301120222322010
52442403323122004
6105452035512100
76401426402232
oct1246130527204
9280845516670
1091022864004
113566a040a46
1215783458630
138777a06357
144596abb952
15257b077739
hex153162ae84

91022864004 has 72 divisors (see below), whose sum is σ = 235417946400. Its totient is φ = 29645557632.

The previous prime is 91022863957. The next prime is 91022864011. The reversal of 91022864004 is 40046822019.

91022864004 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 2 + 8 + 640 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91022864004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119347 + ... + 443045.

It is an arithmetic number, because the mean of its divisors is an integer number (3269693700).

Almost surely, 291022864004 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 91022864004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117708973200).

91022864004 is an abundant number, since it is smaller than the sum of its proper divisors (144395082396).

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

91022864004 is a wasteful number, since it uses less digits than its factorization.

91022864004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323889 (or 323884 counting only the distinct ones).

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

The spelling of 91022864004 in words is "ninety-one billion, twenty-two million, eight hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 73 107 146 214 219 292 321 428 438 642 657 876 963 1284 1314 1926 2628 3852 7811 15622 23433 31244 46866 70299 93732 140598 281196 323699 647398 971097 1294796 1942194 2913291 3884388 5826582 11653164 23630027 34635793 47260054 69271586 70890081 94520108 103907379 138543172 141780162 207814758 212670243 283560324 311722137 415629516 425340486 623444274 850680972 1246888548 2528412889 5056825778 7585238667 10113651556 15170477334 22755716001 30340954668 45511432002 91022864004