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13437916624 = 2411419411979
BaseRepresentation
bin11001000001111011…
…00101010111010000
31021200111210220010201
430200331211113100
5210010101312444
610101233104544
7654001256326
oct144075452720
937614726121
1013437916624
115776398720
1227303b8154
13136202a772
1491699dd16
15539b04dd4
hex320f655d0

13437916624 has 80 divisors (see below), whose sum is σ = 29141259840. Its totient is φ = 5949824000.

The previous prime is 13437916621. The next prime is 13437916637. The reversal of 13437916624 is 42661973431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437916621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6789267 + ... + 6791245.

It is an arithmetic number, because the mean of its divisors is an integer number (364265748).

Almost surely, 213437916624 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 13437916624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570629920).

13437916624 is an abundant number, since it is smaller than the sum of its proper divisors (15703343216).

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

13437916624 is a wasteful number, since it uses less digits than its factorization.

13437916624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2974 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The spelling of 13437916624 in words is "thirteen billion, four hundred thirty-seven million, nine hundred sixteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 941 1804 1882 1979 3608 3764 3958 7216 7528 7916 10351 15056 15832 20702 21769 31664 38581 41404 43538 77162 81139 82808 87076 154324 162278 165616 174152 308648 324556 348304 424391 617296 649112 848782 892529 1298224 1697564 1785058 1862239 3395128 3570116 3724478 6790256 7140232 7448956 14280464 14897912 20484629 29795824 40969258 76351799 81938516 152703598 163877032 305407196 327754064 610814392 839869789 1221628784 1679739578 3359479156 6718958312 13437916624