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13985593056 = 253342138449
BaseRepresentation
bin11010000011001101…
…10011011011100000
31100002200100201222000
431001212303123200
5212120302434211
610231435444000
71003401402531
oct150146633340
940080321860
1013985593056
115a27559076
1228638b6600
13141b636466
14969606688
1556cc39656
hex3419b36e0

13985593056 has 96 divisors (see below), whose sum is σ = 40889268000. Its totient is φ = 4650670080.

The previous prime is 13985593051. The next prime is 13985593081. The reversal of 13985593056 is 65039558931.

It is a happy number.

13985593056 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 559 + 30 + 56 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13985592993 and 13985593011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985593051) 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, 344520 + ... + 382968.

It is an arithmetic number, because the mean of its divisors is an integer number (425929875).

Almost surely, 213985593056 is an apocalyptic number.

13985593056 is a gapful number since it is divisible by the number (16) 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 13985593056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444634000).

13985593056 is an abundant number, since it is smaller than the sum of its proper divisors (26903674944).

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

13985593056 is a wasteful number, since it uses less digits than its factorization.

13985593056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38889 (or 38875 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 13985593056 in words is "thirteen billion, nine hundred eighty-five million, five hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 421 432 842 864 1263 1684 2526 3368 3789 5052 6736 7578 10104 11367 13472 15156 20208 22734 30312 38449 40416 45468 60624 76898 90936 115347 121248 153796 181872 230694 307592 346041 363744 461388 615184 692082 922776 1038123 1230368 1384164 1845552 2076246 2768328 3691104 4152492 5536656 8304984 11073312 16187029 16609968 32374058 33219936 48561087 64748116 97122174 129496232 145683261 194244348 258992464 291366522 388488696 437049783 517984928 582733044 776977392 874099566 1165466088 1553954784 1748199132 2330932176 3496398264 4661864352 6992796528 13985593056