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132894406560 = 2535743372629
BaseRepresentation
bin111101111000100011…
…1111011011110100000
3110201000122021022222210
41323301013323132200
54134131432002220
6141014552202120
712413150550306
oct1736107733640
9421018238883
10132894406560
11513a6478673
122190a099340
13c6bb737636
146609a66276
1536cbeea6e0
hex1ef11fb7a0

132894406560 has 96 divisors (see below), whose sum is σ = 419181920640. Its totient is φ = 35390716928.

The previous prime is 132894406553. The next prime is 132894406573. The reversal of 132894406560 is 65604498231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170326 + ... + 542954.

It is an arithmetic number, because the mean of its divisors is an integer number (4366478340).

Almost surely, 2132894406560 is an apocalyptic number.

132894406560 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 132894406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209590960320).

132894406560 is an abundant number, since it is smaller than the sum of its proper divisors (286287514080).

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

132894406560 is a wasteful number, since it uses less digits than its factorization.

132894406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373390 (or 373382 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 132894406560 in words is "one hundred thirty-two billion, eight hundred ninety-four million, four hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 11888 14860 17832 22290 23776 29720 35664 44580 59440 71328 89160 118880 178320 356640 372629 745258 1117887 1490516 1863145 2235774 2981032 3726290 4471548 5589435 5962064 7452580 8943096 11178870 11924128 14905160 17886192 22357740 29810320 35772384 44715480 59620640 89430960 178861920 276863347 553726694 830590041 1107453388 1384316735 1661180082 2214906776 2768633470 3322360164 4152950205 4429813552 5537266940 6644720328 8305900410 8859627104 11074533880 13289440656 16611800820 22149067760 26578881312 33223601640 44298135520 66447203280 132894406560