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13212463992 = 23371317933797
BaseRepresentation
bin11000100111000011…
…00011001101111000
31021002210120201021020
430103201203031320
5204024342321432
610023020542440
7645263043120
oct142341431570
937083521236
1013212463992
115670100832
1226889b1a20
131327401240
148d4a73c80
15524e1e22c
hex313863378

13212463992 has 128 divisors (see below), whose sum is σ = 40882060800. Its totient is φ = 3465036288.

The previous prime is 13212463973. The next prime is 13212463997. The reversal of 13212463992 is 29936421231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212463997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374038 + ... + 407834.

It is an arithmetic number, because the mean of its divisors is an integer number (319391100).

Almost surely, 213212463992 is an apocalyptic number.

13212463992 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 13212463992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441030400).

13212463992 is an abundant number, since it is smaller than the sum of its proper divisors (27669596808).

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

13212463992 is a wasteful number, since it uses less digits than its factorization.

13212463992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34005 (or 34001 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The spelling of 13212463992 in words is "thirteen billion, two hundred twelve million, four hundred sixty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 179 182 273 312 358 364 537 546 716 728 1074 1092 1253 1432 2148 2184 2327 2506 3759 4296 4654 5012 6981 7518 9308 10024 13962 15036 16289 18616 27924 30072 32578 33797 48867 55848 65156 67594 97734 101391 130312 135188 195468 202782 236579 270376 390936 405564 439361 473158 709737 811128 878722 946316 1318083 1419474 1757444 1892632 2636166 2838948 3075527 3514888 5272332 5677896 6049663 6151054 9226581 10544664 12099326 12302108 18148989 18453162 24198652 24604216 36297978 36906324 42347641 48397304 72595956 73812648 78645619 84695282 127042923 145191912 157291238 169390564 235936857 254085846 314582476 338781128 471873714 508171692 550519333 629164952 943747428 1016343384 1101038666 1651557999 1887494856 2202077332 3303115998 4404154664 6606231996 13212463992