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132400211234032 = 2475920036351579
BaseRepresentation
bin11110000110101011010011…
…100011110000110011110000
3122100210100002100220022100101
4132012223103203300303300
5114323221113033442112
61145331452314402144
736613412442444310
oct3606532343606360
9570710070808311
10132400211234032
1139206683636695
1212a2406aa30354
1358b5395146331
14249a2c0cb9440
151049077797757
hex786ad38f0cf0

132400211234032 has 40 divisors (see below), whose sum is σ = 298140911510400. Its totient is φ = 55781202793152.

The previous prime is 132400211234017. The next prime is 132400211234099. The reversal of 132400211234032 is 230432112004231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10018169182 + ... + 10018182397.

It is an arithmetic number, because the mean of its divisors is an integer number (7453522787760).

Almost surely, 2132400211234032 is an apocalyptic number.

It is an amenable number.

132400211234032 is an abundant number, since it is smaller than the sum of its proper divisors (165740700276368).

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

132400211234032 is a wasteful number, since it uses less digits than its factorization.

132400211234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036351653 (or 20036351647 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132400211234032 its reverse (230432112004231), we get a palindrome (362832323238263).

The spelling of 132400211234032 in words is "one hundred thirty-two trillion, four hundred billion, two hundred eleven million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 20036351579 40072703158 80145406316 140254461053 160290812632 280508922106 320581625264 561017844212 1122035688424 1182144743161 2244071376848 2364289486322 4728578972644 8275013202127 9457157945288 16550026404254 18914315890576 33100052808508 66200105617016 132400211234032