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146117042472 = 23337612697479
BaseRepresentation
bin1000100000010101000…
…0010010000100101000
3111222011010222211111210
42020011100102010220
54343221430324342
6151043015153120
713361626240242
oct2100520220450
9458133884453
10146117042472
1156a71296745
122439a3757a0
1310a17c8a75b
147101bc7092
153c02c7879c
hex2205412128

146117042472 has 64 divisors (see below), whose sum is σ = 381315772800. Its totient is φ = 46612419840.

The previous prime is 146117042441. The next prime is 146117042531. The reversal of 146117042472 is 274240711641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 146117042472.

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, 1294572 + ... + 1402907.

It is an arithmetic number, because the mean of its divisors is an integer number (5958058950).

Almost surely, 2146117042472 is an apocalyptic number.

146117042472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146117042472 is an abundant number, since it is smaller than the sum of its proper divisors (235198730328).

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

146117042472 is a wasteful number, since it uses less digits than its factorization.

146117042472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697586 (or 2697582 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 146117042472 in words is "one hundred forty-six billion, one hundred seventeen million, forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1464 2257 4514 6771 9028 13542 18056 27084 54168 2697479 5394958 8092437 10789916 16184874 21579832 32369748 64739496 99806723 164546219 199613446 299420169 329092438 399226892 493638657 598840338 658184876 798453784 987277314 1197680676 1316369752 1974554628 2395361352 3949109256 6088210103 12176420206 18264630309 24352840412 36529260618 48705680824 73058521236 146117042472