Search a number
-
+
31296935520 = 253452414887
BaseRepresentation
bin11101001001011100…
…010101011001100000
32222210010201001110000
4131021130111121200
51003044003414040
622213321540000
72155365363654
oct351134253140
988703631400
1031296935520
1112300338974
126095344600
132c49c99276
14172c7aca64
15c32911130
hex749715660

31296935520 has 120 divisors (see below), whose sum is σ = 110452147344. Its totient is φ = 8345846016.

The previous prime is 31296935441. The next prime is 31296935533. The reversal of 31296935520 is 2553969213.

31296935520 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 6 + 93 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1194484 + ... + 1220403.

Almost surely, 231296935520 is an apocalyptic number.

31296935520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31296935520 is an abundant number, since it is smaller than the sum of its proper divisors (79155211824).

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

31296935520 is a wasteful number, since it uses less digits than its factorization.

31296935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414914 (or 2414897 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 31296935520 in words is "thirty-one billion, two hundred ninety-six million, nine hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 2414887 4829774 7244661 9659548 12074435 14489322 19319096 21733983 24148870 28978644 36223305 38638192 43467966 48297740 57957288 65201949 72446610 77276384 86935932 96595480 108669915 115914576 130403898 144893220 173871864 193190960 195605847 217339830 231829152 260807796 289786440 326009745 347743728 386381920 391211694 434679660 521615592 579572880 652019490 695487456 782423388 869359320 978029235 1043231184 1159145760 1304038980 1564846776 1738718640 1956058470 2086462368 2608077960 3129693552 3477437280 3912116940 5216155920 6259387104 7824233880 10432311840 15648467760 31296935520