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137952825709496 = 23713118804910811
BaseRepresentation
bin11111010111011110100101…
…001011000001001110111000
3200002110011100121122102201112
4133113132211023001032320
5121040204341340200441
61205222353033135452
741025522423652250
oct3727364513011670
9602404317572645
10137952825709496
113aa57512765816
121358022225a588
135bc8b84968985
14260cd49504960
1510e3709c814eb
hex7d77a52c13b8

137952825709496 has 32 divisors (see below), whose sum is σ = 297869787262080. Its totient is φ = 58671321727200.

The previous prime is 137952825709477. The next prime is 137952825709513. The reversal of 137952825709496 is 694907528259731.

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, 9402448070 + ... + 9402462741.

It is an arithmetic number, because the mean of its divisors is an integer number (9308430851940).

It is a 1-persistent number, because it is pandigital, but 2⋅137952825709496 = 275905651418992 is not.

Almost surely, 2137952825709496 is an apocalyptic number.

It is an amenable number.

137952825709496 is an abundant number, since it is smaller than the sum of its proper divisors (159916961552584).

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

137952825709496 is a wasteful number, since it uses less digits than its factorization.

137952825709496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804910955 (or 18804910951 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 77.

The spelling of 137952825709496 in words is "one hundred thirty-seven trillion, nine hundred fifty-two billion, eight hundred twenty-five million, seven hundred nine thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 131 262 524 917 1048 1834 3668 7336 18804910811 37609821622 75219643244 131634375677 150439286488 263268751354 526537502708 1053075005416 2463443316241 4926886632482 9853773264964 17244103213687 19707546529928 34488206427374 68976412854748 137952825709496