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132894912260 = 225112175954751
BaseRepresentation
bin111101111000100100…
…1110110111100000100
3110201000200020000200102
41323301021312330010
54134132044143020
6141015011103232
712413155054535
oct1736111667404
9421020200612
10132894912260
11513a6793600
122190a2a1b18
13c6bb883876
146609b5868c
1536cc09a475
hex1ef1276f04

132894912260 has 144 divisors (see below), whose sum is σ = 330312245760. Its totient is φ = 44711040000.

The previous prime is 132894912253. The next prime is 132894912281. The reversal of 132894912260 is 62219498231.

It is a happy number.

It is a super-2 number, since 2×1328949122602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2399885 + ... + 2454635.

It is an arithmetic number, because the mean of its divisors is an integer number (2293835040).

Almost surely, 2132894912260 is an apocalyptic number.

132894912260 is a gapful number since it is divisible by the number (10) 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 132894912260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165156122880).

132894912260 is an abundant number, since it is smaller than the sum of its proper divisors (197417333500).

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

132894912260 is a wasteful number, since it uses less digits than its factorization.

132894912260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54858 (or 54845 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 132894912260 in words is "one hundred thirty-two billion, eight hundred ninety-four million, nine hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 121 170 187 220 236 242 295 340 374 484 590 605 649 748 935 1003 1180 1210 1298 1870 2006 2057 2420 2596 3245 3740 4012 4114 5015 6490 7139 8228 10030 10285 11033 12980 14278 20060 20570 22066 28556 35695 41140 44132 54751 55165 71390 109502 110330 121363 142780 219004 220660 242726 273755 485452 547510 602261 606815 930767 1095020 1204522 1213630 1861534 2409044 2427260 3011305 3230309 3723068 4653835 6022610 6460618 6624871 9307670 10238437 12045220 12921236 13249742 16151545 18615340 20476874 26499484 32303090 33124355 35533399 40953748 51192185 54915253 64606180 66248710 71066798 102384370 109830506 112622807 132497420 142133596 177666995 204768740 219661012 225245614 274576265 355333990 390867389 450491228 549152530 563114035 604067783 710667980 781734778 1098305060 1126228070 1208135566 1563469556 1954336945 2252456140 2416271132 3020338915 3908673890 6040677830 6644745613 7817347780 12081355660 13289491226 26578982452 33223728065 66447456130 132894912260