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13936356816 = 2431919777569
BaseRepresentation
bin11001111101010101…
…11110110111010000
31022222020201021112120
430332222332313100
5212020201404231
610222520254240
71002233035614
oct147652766720
938866637476
1013936356816
115a0178a168
12284b311380
1314113878a5
14962c6b344
15568760d96
hex33eabedd0

13936356816 has 80 divisors (see below), whose sum is σ = 38089972800. Its totient is φ = 4378558464.

The previous prime is 13936356787. The next prime is 13936356817. The reversal of 13936356816 is 61865363931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936356817) 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, 140880 + ... + 218448.

It is an arithmetic number, because the mean of its divisors is an integer number (476124660).

Almost surely, 213936356816 is an apocalyptic number.

13936356816 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 13936356816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19044986400).

13936356816 is an abundant number, since it is smaller than the sum of its proper divisors (24153615984).

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

13936356816 is a wasteful number, since it uses less digits than its factorization.

13936356816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77796 (or 77790 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 13936356816 in words is "thirteen billion, nine hundred thirty-six million, three hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 197 228 304 394 456 591 788 912 1182 1576 2364 3152 3743 4728 7486 9456 11229 14972 22458 29944 44916 59888 77569 89832 155138 179664 232707 310276 465414 620552 930828 1241104 1473811 1861656 2947622 3723312 4421433 5895244 8842866 11790488 15281093 17685732 23580976 30562186 35371464 45843279 61124372 70742928 91686558 122248744 183373116 244497488 290340767 366746232 580681534 733492464 871022301 1161363068 1742044602 2322726136 3484089204 4645452272 6968178408 13936356816