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315664151220 = 223351153142113
BaseRepresentation
bin1001001011111110000…
…11001011001010110100
31010011210011210100122000
410211333003023022310
520132440010314340
6401003014135300
731543311004605
oct4457703131264
91104704710560
10315664151220
11111966202a20
1251217351530
13239c8144b42
14113c764bdac
158327963d30
hex497f0cb2b4

315664151220 has 96 divisors (see below), whose sum is σ = 1071345018240. Its totient is φ = 76524641280.

The previous prime is 315664151213. The next prime is 315664151233. The reversal of 315664151220 is 22151466513.

315664151220 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 641 + 5 + 1 + 2 + 2 + 0 = 666.

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

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, 26565117 + ... + 26576996.

It is an arithmetic number, because the mean of its divisors is an integer number (11159843940).

Almost surely, 2315664151220 is an apocalyptic number.

315664151220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315664151220 is an abundant number, since it is smaller than the sum of its proper divisors (755680867020).

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

315664151220 is a wasteful number, since it uses less digits than its factorization.

315664151220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53142142 (or 53142134 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 315664151220 in words is "three hundred fifteen billion, six hundred sixty-four million, one hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 53142113 106284226 159426339 212568452 265710565 318852678 478279017 531421130 584563243 637705356 797131695 956558034 1062842260 1169126486 1434837051 1594263390 1753689729 1913116068 2338252972 2391395085 2869674102 2922816215 3188526780 3507379458 4782790170 5261069187 5739348204 5845632430 7014758916 7174185255 8768448645 9565580340 10522138374 11691264860 14348370510 15783207561 17536897290 21044276748 26305345935 28696741020 31566415122 35073794580 52610691870 63132830244 78916037805 105221383740 157832075610 315664151220