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150215650560 = 2832513039553
BaseRepresentation
bin1000101111100110001…
…1001110110100000000
3112100201210020200211100
42023321203032310000
54430120201304220
6153001430414400
713565324651043
oct2137143166400
9470653220740
10150215650560
1158784900658
1225142b01400
131121c156241
1473b0288c5a
153d929cad90
hex22f98ced00

150215650560 has 108 divisors (see below), whose sum is σ = 519730543332. Its totient is φ = 40057503744.

The previous prime is 150215650553. The next prime is 150215650573. The reversal of 150215650560 is 65056512051.

150215650560 is a `hidden beast` number, since 1 + 502 + 1 + 56 + 50 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66217699584 + 83997950976 = 257328^2 + 289824^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508257 + ... + 6531296.

Almost surely, 2150215650560 is an apocalyptic number.

150215650560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150215650560 is an abundant number, since it is smaller than the sum of its proper divisors (369514892772).

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

150215650560 is a wasteful number, since it uses less digits than its factorization.

150215650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039580 (or 13039563 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 150215650560 in words is "one hundred fifty billion, two hundred fifteen million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 13039553 26079106 39118659 52158212 65197765 78237318 104316424 117355977 130395530 156474636 195593295 208632848 234711954 260791060 312949272 391186590 417265696 469423908 521582120 586779885 625898544 782373180 834531392 938847816 1043164240 1173559770 1251797088 1564746360 1669062784 1877695632 2086328480 2347119540 2503594176 3129492720 3338125568 3755391264 4172656960 4694239080 5007188352 6258985440 7510782528 8345313920 9388478160 10014376704 12517970880 15021565056 16690627840 18776956320 25035941760 30043130112 37553912640 50071883520 75107825280 150215650560