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10000083232272 = 2437671014398131
BaseRepresentation
bin1001000110000101001101…
…1010001010011000010000
31022101222221222211220001010
42101201103122022120100
52302320132301413042
633133550321010520
72051324245662060
oct221412332123020
938358858756033
1010000083232272
113206014312721
1211560bb783a40
1357700847aba3
142680141d73a0
151251d23d459c
hex9185368a610

10000083232272 has 160 divisors (see below), whose sum is σ = 30261400003584. Its totient is φ = 2786655168000.

The previous prime is 10000083232199. The next prime is 10000083232283. The reversal of 10000083232272 is 27223238000001.

It is a super-2 number, since 2×100000832322722 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74647 + ... + 4472777.

Almost surely, 210000083232272 is an apocalyptic number.

10000083232272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000083232272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130700001792).

10000083232272 is an abundant number, since it is smaller than the sum of its proper divisors (20261316771312).

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

10000083232272 is a wasteful number, since it uses less digits than its factorization.

10000083232272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398317 (or 4398311 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10000083232272 in words is "ten trillion, eighty-three million, two hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 101 112 134 168 201 202 268 303 336 402 404 469 536 606 707 804 808 938 1072 1212 1407 1414 1608 1616 1876 2121 2424 2814 2828 3216 3752 4242 4848 5628 5656 6767 7504 8484 11256 11312 13534 16968 20301 22512 27068 33936 40602 47369 54136 81204 94738 108272 142107 162408 189476 284214 324816 378952 568428 757904 1136856 2273712 4398131 8796262 13194393 17592524 26388786 30786917 35185048 52777572 61573834 70370096 92360751 105555144 123147668 184721502 211110288 246295336 294674777 369443004 444211231 492590672 589349554 738886008 884024331 888422462 1178699108 1332633693 1477772016 1768048662 1776844924 2062723439 2357398216 2665267386 3109478617 3536097324 3553689848 4125446878 4714796432 5330534772 6188170317 6218957234 7072194648 7107379696 8250893756 9328435851 10661069544 12376340634 12437914468 14144389296 16501787512 18656871702 21322139088 24752681268 24875828936 29762152477 33003575024 37313743404 49505362536 49751657872 59524304954 74627486808 89286457431 99010725072 119048609908 149254973616 178572914862 208335067339 238097219816 357145829724 416670134678 476194439632 625005202017 714291659448 833340269356 1250010404034 1428583318896 1666680538712 2500020808068 3333361077424 5000041616136 10000083232272