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13212639104 = 27726613187
BaseRepresentation
bin11000100111000100…
…01101111110000000
31021002210220121110212
430103202031332000
5204024413422404
610023024413252
7645264402500
oct142342157600
937083817425
1013212639104
115670210355
122688a77228
131327462b62
148d4abba00
15524e5606e
hex31388df80

13212639104 has 96 divisors (see below), whose sum is σ = 30675477960. Its totient is φ = 5652218880.

The previous prime is 13212639073. The next prime is 13212639113. The reversal of 13212639104 is 40193621231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4144199 + ... + 4147385.

Almost surely, 213212639104 is an apocalyptic number.

13212639104 is a gapful number since it is divisible by the number (14) 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 13212639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337738980).

13212639104 is an abundant number, since it is smaller than the sum of its proper divisors (17462838856).

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

13212639104 is an equidigital number, since it uses as much as digits as its factorization.

13212639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 13212639104 in words is "thirteen billion, two hundred twelve million, six hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 661 784 896 1322 1568 2644 3136 3187 4627 5288 6272 6374 9254 10576 12748 18508 21152 22309 25496 32389 37016 42304 44618 50992 64778 74032 84608 89236 101984 129556 148064 156163 178472 203968 259112 296128 312326 356944 407936 518224 592256 624652 713888 1036448 1249304 1427776 2072896 2106607 2498608 2855552 4145792 4213214 4997216 8426428 9994432 14746249 16852856 19988864 29492498 33705712 58984996 67411424 103223743 117969992 134822848 206447486 235939984 269645696 412894972 471879968 825789944 943759936 1651579888 1887519872 3303159776 6606319552 13212639104