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13700094432 = 253614215557
BaseRepresentation
bin11001100001001011…
…01101100111100000
31022100210010220110220
430300211231213200
5211024211010212
610143240323040
7663333611163
oct146045554740
938323126426
1013700094432
1158a03897a2
1227a4173480
1313a444506b
1493d729ada
15552b4238c
hex33096d9e0

13700094432 has 96 divisors (see below), whose sum is σ = 36645717024. Its totient is φ = 4480358400.

The previous prime is 13700094431. The next prime is 13700094481. The reversal of 13700094432 is 23449000731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13700094393 and 13700094402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13700094431) 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, 2462598 + ... + 2468154.

It is an arithmetic number, because the mean of its divisors is an integer number (381726219).

Almost surely, 213700094432 is an apocalyptic number.

13700094432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13700094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18322858512).

13700094432 is an abundant number, since it is smaller than the sum of its proper divisors (22945622592).

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

13700094432 is a wasteful number, since it uses less digits than its factorization.

13700094432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13700094432 in words is "thirteen billion, seven hundred million, ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 421 488 732 842 976 1263 1464 1684 1952 2526 2928 3368 5052 5557 5856 6736 10104 11114 13472 16671 20208 22228 25681 33342 40416 44456 51362 66684 77043 88912 102724 133368 154086 177824 205448 266736 308172 338977 410896 533472 616344 677954 821792 1016931 1232688 1355908 2033862 2339497 2465376 2711816 4067724 4678994 5423632 7018491 8135448 9357988 10847264 14036982 16270896 18715976 28073964 32541792 37431952 56147928 74863904 112295856 142709317 224591712 285418634 428127951 570837268 856255902 1141674536 1712511804 2283349072 3425023608 4566698144 6850047216 13700094432