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91016973090 = 23253121795879
BaseRepresentation
bin101010011000100001…
…0001100101100100010
322200221010111021221100
41110301002030230202
52442400321114330
6105451305335230
76401325335451
oct1246102145442
9280833437840
1091016973090
113566678801a
1215781497516
138776722bc4
144595dc6b98
15257a7b2060
hex153108cb22

91016973090 has 144 divisors (see below), whose sum is σ = 245931940800. Its totient is φ = 23353058880.

The previous prime is 91016973053. The next prime is 91016973127. The reversal of 91016973090 is 9037961019.

It is an interprime number because it is at equal distance from previous prime (91016973053) and next prime (91016973127).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15478771 + ... + 15484649.

It is an arithmetic number, because the mean of its divisors is an integer number (1707860700).

Almost surely, 291016973090 is an apocalyptic number.

91016973090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91016973090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122965970400).

91016973090 is an abundant number, since it is smaller than the sum of its proper divisors (154914967710).

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

91016973090 is a wasteful number, since it uses less digits than its factorization.

91016973090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 91016973090 in words is "ninety-one billion, sixteen million, nine hundred seventy-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 179 186 279 310 358 465 537 558 895 930 961 1074 1395 1611 1790 1922 2685 2790 2883 3222 4805 5370 5549 5766 5879 8055 8649 9610 11098 11758 14415 16110 16647 17298 17637 27745 28830 29395 33294 35274 43245 49941 52911 55490 58790 83235 86490 88185 99882 105822 166470 172019 176370 182249 249705 264555 344038 364498 499410 516057 529110 546747 860095 911245 1032114 1052341 1093494 1548171 1640241 1720190 1822490 2104682 2580285 2733735 3096342 3157023 3280482 5160570 5261705 5467470 5649719 6314046 7740855 8201205 9471069 10523410 11299438 15481710 15785115 16402410 16949157 18942138 28248595 31570230 32622571 33898314 47355345 50847471 56497190 65245142 84745785 94710690 97867713 101694942 163112855 169491570 195735426 254237355 293603139 326225710 489338565 508474710 587206278 978677130 1011299701 1468015695 2022599402 2936031390 3033899103 5056498505 6067798206 9101697309 10112997010 15169495515 18203394618 30338991030 45508486545 91016973090