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137316386680 = 23511896334819
BaseRepresentation
bin111111111100010110…
…0011100011101111000
3111010102211000012100021
41333320230130131320
54222210443333210
6143025434420224
712630554012524
oct1777054343570
9433384005307
10137316386680
115326557a7a0
1222742b91674
13cc448c5115
146909062d84
15388a326bda
hex1ff8b1c778

137316386680 has 64 divisors (see below), whose sum is σ = 337096598400. Its totient is φ = 49926226560.

The previous prime is 137316386677. The next prime is 137316386699. The reversal of 137316386680 is 86683613731.

It is a super-3 number, since 3×1373163866803 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926311 + ... + 3961129.

It is an arithmetic number, because the mean of its divisors is an integer number (5267134350).

Almost surely, 2137316386680 is an apocalyptic number.

137316386680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137316386680 is an abundant number, since it is smaller than the sum of its proper divisors (199780211720).

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

137316386680 is a wasteful number, since it uses less digits than its factorization.

137316386680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43804 (or 43800 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 137316386680 in words is "one hundred thirty-seven billion, three hundred sixteen million, three hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 8963 17926 34819 35852 44815 69638 71704 89630 98593 139276 174095 179260 197186 278552 348190 358520 383009 394372 492965 696380 766018 788744 985930 1392760 1532036 1915045 1971860 3064072 3830090 3943720 7660180 15320360 312082697 624165394 1248330788 1560413485 2496661576 3120826970 3432909667 6241653940 6865819334 12483307880 13731638668 17164548335 27463277336 34329096670 68658193340 137316386680