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57989305620 = 22335233460891
BaseRepresentation
bin110110000000011011…
…101001010100010100
312112200101002221121000
4312000123221110110
51422230230234440
642350120023300
74122012651651
oct660033512424
9175611087530
1057989305620
11226584a6674
12b2a4601b30
13561200a1bc
142b41812c28
151795e7b730
hexd806e9514

57989305620 has 96 divisors (see below), whose sum is σ = 181185863040. Its totient is φ = 15397413120.

The previous prime is 57989305553. The next prime is 57989305637. The reversal of 57989305620 is 2650398975.

57989305620 is a `hidden beast` number, since 5 + 7 + 9 + 8 + 9 + 3 + 0 + 5 + 620 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 104626 + ... + 356265.

It is an arithmetic number, because the mean of its divisors is an integer number (1887352740).

Almost surely, 257989305620 is an apocalyptic number.

It is an amenable number.

57989305620 is an abundant number, since it is smaller than the sum of its proper divisors (123196557420).

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

57989305620 is a wasteful number, since it uses less digits than its factorization.

57989305620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461142 (or 461134 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

It can be divided in two parts, 57989 and 305620, that added together give a square (363609 = 6032).

The spelling of 57989305620 in words is "fifty-seven billion, nine hundred eighty-nine million, three hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 233 270 466 540 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6291 6990 8388 10485 12582 13980 20970 25164 31455 41940 62910 125820 460891 921782 1382673 1843564 2304455 2765346 4148019 4608910 5530692 6913365 8296038 9217820 12444057 13826730 16592076 20740095 24888114 27653460 41480190 49776228 62220285 82960380 107387603 124440570 214775206 248881140 322162809 429550412 536938015 644325618 966488427 1073876030 1288651236 1610814045 1932976854 2147752060 2899465281 3221628090 3865953708 4832442135 5798930562 6443256180 9664884270 11597861124 14497326405 19329768540 28994652810 57989305620