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2148756072 = 2331731169889
BaseRepresentation
bin1000000000010011…
…0110101001101000
312112202021010012020
42000010312221220
513400040143242
6553115144440
7104151060651
oct20004665150
95482233166
102148756072
11a02a0a271
124bb745120
1328322bcc8
1416553c528
15c89986ec
hex80136a68

2148756072 has 64 divisors (see below), whose sum is σ = 5871398400. Its totient is φ = 652369920.

The previous prime is 2148756017. The next prime is 2148756091. The reversal of 2148756072 is 2706578412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72297 + ... + 97592.

It is an arithmetic number, because the mean of its divisors is an integer number (91740600).

Almost surely, 22148756072 is an apocalyptic number.

It is an amenable number.

2148756072 is an abundant number, since it is smaller than the sum of its proper divisors (3722642328).

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

2148756072 is a wasteful number, since it uses less digits than its factorization.

2148756072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169946 (or 169942 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2148756072 is about 46354.6769161430. The cubic root of 2148756072 is about 1290.4139192127.

The spelling of 2148756072 in words is "two billion, one hundred forty-eight million, seven hundred fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 169889 339778 509667 679556 1019334 1359112 2038668 2888113 4077336 5266559 5776226 8664339 10533118 11552452 15799677 17328678 21066236 23104904 31599354 34657356 42132472 63198708 69314712 89531503 126397416 179063006 268594509 358126012 537189018 716252024 1074378036 2148756072