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2137805270880 = 253516327323687
BaseRepresentation
bin11111000110111111000…
…111111010111101100000
321120101001022202221100120
4133012333013322331200
5240011211122132010
64314032202120240
7310310543660136
oct37067707727540
97511038687316
102137805270880
11754702385504
122a63a27b0080
1312679551bb86
1475682813756
153a9211c3e70
hex1f1bf1faf60

2137805270880 has 96 divisors (see below), whose sum is σ = 6775400265984. Its totient is φ = 566583952896.

The previous prime is 2137805270833. The next prime is 2137805270897. The reversal of 2137805270880 is 880725087312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21378052708802 (a number of 25 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 15 ways as a sum of consecutive naturals, for example, 13583604 + ... + 13740083.

It is an arithmetic number, because the mean of its divisors is an integer number (70577086104).

Almost surely, 22137805270880 is an apocalyptic number.

2137805270880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137805270880 is an abundant number, since it is smaller than the sum of its proper divisors (4637594995104).

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

2137805270880 is a wasteful number, since it uses less digits than its factorization.

2137805270880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27323868 (or 27323860 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 2137805270880 in words is "two trillion, one hundred thirty-seven billion, eight hundred five million, two hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5216 6520 7824 9780 13040 15648 19560 26080 39120 78240 27323687 54647374 81971061 109294748 136618435 163942122 218589496 273236870 327884244 409855305 437178992 546473740 655768488 819710610 874357984 1092947480 1311536976 1639421220 2185894960 2623073952 3278842440 4371789920 4453760981 6557684880 8907521962 13115369760 13361282943 17815043924 22268804905 26722565886 35630087848 44537609810 53445131772 66806414715 71260175696 89075219620 106890263544 133612829430 142520351392 178150439240 213780527088 267225658860 356300878480 427561054176 534451317720 712601756960 1068902635440 2137805270880