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137432991227424 = 2532934885985183
BaseRepresentation
bin11111001111111010011100…
…100111110101111000100000
3200000121110120110100122010220
4133033322130213311320200
5121003200231223234144
61204143502232123040
740643130432526344
oct3717723447657040
9600543513318126
10137432991227424
113a87700574a382
12134b7526836480
135b8bb4c516499
1425d1b13da3624
1510d4e32bc9919
hex7cfe9c9f5e20

137432991227424 has 48 divisors (see below), whose sum is σ = 361992870312192. Its totient is φ = 45654645540608.

The previous prime is 137432991227423. The next prime is 137432991227447. The reversal of 137432991227424 is 424722199234731.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (137432991227423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442964464 + ... + 2443020719.

It is an arithmetic number, because the mean of its divisors is an integer number (7541518131504).

Almost surely, 2137432991227424 is an apocalyptic number.

It is an amenable number.

137432991227424 is an abundant number, since it is smaller than the sum of its proper divisors (224559879084768).

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

137432991227424 is a wasteful number, since it uses less digits than its factorization.

137432991227424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885985489 (or 4885985481 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 137432991227424 in words is "one hundred thirty-seven trillion, four hundred thirty-two billion, nine hundred ninety-one million, two hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 28128 4885985183 9771970366 14657955549 19543940732 29315911098 39087881464 58631822196 78175762928 117263644392 156351525856 234527288784 469054577568 1431593658619 2863187317238 4294780975857 5726374634476 8589561951714 11452749268952 17179123903428 22905498537904 34358247806856 45810997075808 68716495613712 137432991227424