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13270843152 = 2432797135727
BaseRepresentation
bin11000101110000000…
…01111111100010000
31021020212102200102100
430113000033330100
5204134313440102
610032504120400
7646602206550
oct142700177420
937225380370
1013270843152
1156a0054976
1226a4466100
131336531518
148dc70d160
1552a101a1c
hex31700ff10

13270843152 has 120 divisors (see below), whose sum is σ = 42883533056. Its totient is φ = 3752552448.

The previous prime is 13270843139. The next prime is 13270843177. The reversal of 13270843152 is 25134807231.

It is a super-2 number, since 2×132708431522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29913 + ... + 165639.

Almost surely, 213270843152 is an apocalyptic number.

13270843152 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 13270843152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21441766528).

13270843152 is an abundant number, since it is smaller than the sum of its proper divisors (29612689904).

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

13270843152 is a wasteful number, since it uses less digits than its factorization.

13270843152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135845 (or 135836 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13270843152 in words is "thirteen billion, two hundred seventy million, eight hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 12222 13968 16296 24444 32592 48888 97776 135727 271454 407181 542908 814362 950089 1085816 1221543 1628724 1900178 2171632 2443086 2850267 3257448 3800356 4886172 5700534 6514896 7600712 8550801 9772344 11401068 13165519 15201424 17101602 19544688 22802136 26331038 34203204 39496557 45604272 52662076 68406408 78993114 92158633 105324152 118489671 136812816 157986228 184317266 210648304 236979342 276475899 315972456 368634532 473958684 552951798 631944912 737269064 829427697 947917368 1105903596 1474538128 1658855394 1895834736 2211807192 3317710788 4423614384 6635421576 13270843152