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20893904616132 = 22332324134902053
BaseRepresentation
bin1001100000000101111011…
…10000110011101011000100
32201222102211010201000011000
410300002331300303223010
510214311204040204012
6112234305520213300
74254351301625652
oct460027560635304
981872733630130
1020893904616132
1167260674a87a9
12241546646a230
13b87395cb8712
145233adcc5dd2
152637721d7ddc
hex1300bdc33ac4

20893904616132 has 96 divisors (see below), whose sum is σ = 56759116296960. Its totient is φ = 6634182044160.

The previous prime is 20893904616119. The next prime is 20893904616133. The reversal of 20893904616132 is 23161640939802.

20893904616132 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 3 + 9 + 0 + 4 + 616 + 13 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20893904616133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16852383 + ... + 18049670.

It is an arithmetic number, because the mean of its divisors is an integer number (591240794760).

Almost surely, 220893904616132 is an apocalyptic number.

It is an amenable number.

20893904616132 is an abundant number, since it is smaller than the sum of its proper divisors (35865211680828).

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

20893904616132 is a wasteful number, since it uses less digits than its factorization.

20893904616132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34902330 (or 34902322 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20893904616132 in words is "twenty trillion, eight hundred ninety-three billion, nine hundred four million, six hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 241 276 414 482 621 723 828 964 1242 1446 2169 2484 2892 4338 5543 6507 8676 11086 13014 16629 22172 26028 33258 49887 66516 99774 149661 199548 299322 598644 34902053 69804106 104706159 139608212 209412318 314118477 418824636 628236954 802747219 942355431 1256473908 1605494438 1884710862 2408241657 3210988876 3769421724 4816483314 7224724971 8411394773 9632966628 14449449942 16822789546 21674174913 25234184319 28898899884 33645579092 43348349826 50468368638 75702552957 86696699652 100936737276 151405105914 193462079779 227107658871 302810211828 386924159558 454215317742 580386239337 773848319116 908430635484 1160772478674 1741158718011 2321544957348 3482317436022 5223476154033 6964634872044 10446952308066 20893904616132