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150093671680 = 285971208873
BaseRepresentation
bin1000101111001001000…
…1111010110100000000
3112100102021201112021001
42023302101322310000
54424342434443210
6152541352141344
713562314105351
oct2136221726400
9470367645231
10150093671680
1158721a68067
122510a097854
13111ccab86a4
14739bdb5d28
153d86e3403a
hex22f247ad00

150093671680 has 72 divisors (see below), whose sum is σ = 363227953032. Its totient is φ = 59418476544.

The previous prime is 150093671647. The next prime is 150093671747. The reversal of 150093671680 is 86176390051.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6191801344 + 143901870336 = 78688^2 + 379344^2 .

It is a super-2 number, since 2×1500936716802 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150093671680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480277 + ... + 728596.

It is an arithmetic number, because the mean of its divisors is an integer number (5044832681).

Almost surely, 2150093671680 is an apocalyptic number.

150093671680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150093671680 is an abundant number, since it is smaller than the sum of its proper divisors (213134281352).

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

150093671680 is an equidigital number, since it uses as much as digits as its factorization.

150093671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208991 (or 1208977 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 150093671680 in words is "one hundred fifty billion, ninety-three million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 6208 7760 12416 15520 24832 31040 62080 124160 1208873 2417746 4835492 6044365 9670984 12088730 19341968 24177460 38683936 48354920 77367872 96709840 117260681 154735744 193419680 234521362 309471488 386839360 469042724 586303405 773678720 938085448 1172606810 1547357440 1876170896 2345213620 3752341792 4690427240 7504683584 9380854480 15009367168 18761708960 30018734336 37523417920 75046835840 150093671680