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2053083341232 = 2432711185162639
BaseRepresentation
bin11101111000000101010…
…011011010000110110000
321021021100220111222121100
4131320011103122012300
5232114203313404412
64211101245124400
7301221214313610
oct35700523320660
97237326458540
102053083341232
11721787027830
12291a99559700
1311b7b3048761
14715268bca40
15386133c9edc
hex1de054da1b0

2053083341232 has 120 divisors (see below), whose sum is σ = 7163572216320. Its totient is φ = 533268397440.

The previous prime is 2053083341227. The next prime is 2053083341233. The reversal of 2053083341232 is 2321433803502.

2053083341232 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 83 + 341 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2053083341233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92570232 + ... + 92592407.

It is an arithmetic number, because the mean of its divisors is an integer number (59696435136).

Almost surely, 22053083341232 is an apocalyptic number.

2053083341232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2053083341232 is an abundant number, since it is smaller than the sum of its proper divisors (5110488875088).

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

2053083341232 is a wasteful number, since it uses less digits than its factorization.

2053083341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185162671 (or 185162662 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2053083341232 in words is "two trillion, fifty-three billion, eighty-three million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 185162639 370325278 555487917 740650556 1110975834 1296138473 1481301112 1666463751 2036789029 2221951668 2592276946 2962602224 3332927502 3888415419 4073578058 4443903336 5184553892 6110367087 6665855004 7776830838 8147156116 8887806672 10369107784 11665246257 12220734174 13331710008 14257523203 15553661676 16294312232 18331101261 20738215568 23330492514 24441468348 26663420016 28515046406 31107323352 32588624464 36662202522 42772569609 46660985028 48882936696 57030092812 62214646704 73324405044 85545139218 93321970056 97765873392 114060185624 128317708827 146648810088 171090278436 186643940112 228120371248 256635417654 293297620176 342180556872 513270835308 684361113744 1026541670616 2053083341232