Search a number
-
+
97833759839772 = 223112343749408339
BaseRepresentation
bin10110001111101010110010…
…100000001001011000011100
3110211101211000221021112202020
4112033222302200021120130
5100310402020004333042
6544024113034100140
726415153525452055
oct2617526240113034
9424354027245666
1097833759839772
112919a0789aa520
12ab80a0827a650
1342788b78a0478
141a23271ba572c
15b49d320cd3ec
hex58fab280961c

97833759839772 has 96 divisors (see below), whose sum is σ = 265902069565440. Its totient is φ = 27698132172480.

The previous prime is 97833759839759. The next prime is 97833759839801. The reversal of 97833759839772 is 27793895733879.

It is a happy number.

It is a super-2 number, since 2×978337598397722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 374573622 + ... + 374834717.

It is an arithmetic number, because the mean of its divisors is an integer number (2769813224640).

Almost surely, 297833759839772 is an apocalyptic number.

97833759839772 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

97833759839772 is an abundant number, since it is smaller than the sum of its proper divisors (168068309725668).

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

97833759839772 is a wasteful number, since it uses less digits than its factorization.

97833759839772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749408423 (or 749408421 counting only the distinct ones).

The product of its digits is 30245685120, while the sum is 87.

The spelling of 97833759839772 in words is "ninety-seven trillion, eight hundred thirty-three billion, seven hundred fifty-nine million, eight hundred thirty-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 473 506 516 759 946 989 1012 1419 1518 1892 1978 2838 2967 3036 3956 5676 5934 10879 11868 21758 32637 43516 65274 130548 749408339 1498816678 2248225017 2997633356 4496450034 8243491729 8992900068 16486983458 17236391797 24730475187 32224558577 32973966916 34472783594 49460950374 51709175391 64449117154 68945567188 96673675731 98921900748 103418350782 128898234308 189600309767 193347351462 206836701564 354470144347 379200619534 386694702924 568800929301 708940288694 741164847271 758401239068 1063410433041 1137601858602 1417880577388 1482329694542 2126820866082 2223494541813 2275203717204 2964659389084 4253641732164 4446989083626 8152813319981 8893978167252 16305626639962 24458439959943 32611253279924 48916879919886 97833759839772