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12164134260 = 22353673731481
BaseRepresentation
bin10110101010000100…
…11111010101110100
31011101201222001020010
423111002133111310
5144403004244020
65331011340220
7610303302165
oct132502372564
934351861203
1012164134260
115182378123
1224358b1670
1311bb171ca5
1483574576c
154b2d92de0
hex2d509f574

12164134260 has 96 divisors (see below), whose sum is σ = 34267064832. Its totient is φ = 3224079360.

The previous prime is 12164134259. The next prime is 12164134277. The reversal of 12164134260 is 6243146121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8212720 + ... + 8214200.

It is an arithmetic number, because the mean of its divisors is an integer number (356948592).

Almost surely, 212164134260 is an apocalyptic number.

12164134260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164134260 is an abundant number, since it is smaller than the sum of its proper divisors (22102930572).

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

12164134260 is a wasteful number, since it uses less digits than its factorization.

12164134260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12164134260 in words is "twelve billion, one hundred sixty-four million, one hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 367 373 734 746 1101 1119 1468 1481 1492 1835 1865 2202 2238 2962 3670 3730 4404 4443 4476 5505 5595 5924 7340 7405 7460 8886 11010 11190 14810 17772 22020 22215 22380 29620 44430 88860 136891 273782 410673 543527 547564 552413 684455 821346 1087054 1104826 1368910 1630581 1642692 1657239 2053365 2174108 2209652 2717635 2737820 2762065 3261162 3314478 4106730 5435270 5524130 6522324 6628956 8152905 8213460 8286195 10870540 11048260 16305810 16572390 32611620 33144780 202735571 405471142 608206713 810942284 1013677855 1216413426 2027355710 2432826852 3041033565 4054711420 6082067130 12164134260