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13937599488 = 210311933803
BaseRepresentation
bin11001111101011111…
…01110010000000000
31022222100001102011110
430332233232100000
5212021011140423
610223003043320
71002246432561
oct147657562000
938870042143
1013937599488
115a0245886a
12284b810540
1314117013b7
149630b2168
15568909193
hex33ebee400

13937599488 has 88 divisors (see below), whose sum is σ = 37189699488. Its totient is φ = 4640751616.

The previous prime is 13937599453. The next prime is 13937599499. The reversal of 13937599488 is 88499573931.

13937599488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3662995 + ... + 3666797.

Almost surely, 213937599488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13937599488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594849744).

13937599488 is an abundant number, since it is smaller than the sum of its proper divisors (23252100000).

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

13937599488 is a wasteful number, since it uses less digits than its factorization.

13937599488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5001 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 13937599488 in words is "thirteen billion, nine hundred thirty-seven million, five hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1193 1536 2386 3072 3579 3803 4772 7158 7606 9544 11409 14316 15212 19088 22818 28632 30424 38176 45636 57264 60848 76352 91272 114528 121696 152704 182544 229056 243392 305408 365088 458112 486784 610816 730176 916224 973568 1221632 1460352 1832448 1947136 2920704 3664896 3894272 4536979 5841408 9073958 11682816 13610937 18147916 27221874 36295832 54443748 72591664 108887496 145183328 217774992 290366656 435549984 580733312 871099968 1161466624 1742199936 2322933248 3484399872 4645866496 6968799744 13937599488