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13377977856 = 29322903207
BaseRepresentation
bin11000111010110001…
…11011111000000000
31021112100000200121100
430131120323320000
5204344230242411
610051252254400
7652342635615
oct143530737000
937470020540
1013377977856
115745579851
122714311400
1313527a2639
1490ca3a50c
15534715456
hex31d63be00

13377977856 has 60 divisors (see below), whose sum is σ = 38609763192. Its totient is φ = 4459324416.

The previous prime is 13377977831. The next prime is 13377977887. The reversal of 13377977856 is 65877977331.

It is a super-3 number, since 3×133779778563 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13377977793 and 13377977802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1446996 + ... + 1456211.

Almost surely, 213377977856 is an apocalyptic number.

13377977856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13377977856 is an abundant number, since it is smaller than the sum of its proper divisors (25231785336).

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

13377977856 is an equidigital number, since it uses as much as digits as its factorization.

13377977856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903231 (or 2903212 counting only the distinct ones).

The product of its digits is 46675440, while the sum is 63.

The spelling of 13377977856 in words is "thirteen billion, three hundred seventy-seven million, nine hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2903207 5806414 8709621 11612828 17419242 23225656 26128863 34838484 46451312 52257726 69676968 92902624 104515452 139353936 185805248 209030904 278707872 371610496 418061808 557415744 743220992 836123616 1114831488 1486441984 1672247232 2229662976 3344494464 4459325952 6688988928 13377977856