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137174452212432 = 2434368299732097
BaseRepresentation
bin11111001100001001101010…
…011111110001001011010000
3122222200202020102120212120010
4133030021222133301023100
5120434431234231244212
61203425023503514520
740615345542256215
oct3714115237611320
9588622212525503
10137174452212432
113a7873a4163848
12134753b25b8a40
135b7065934bccb
1425c33c9497b0c
1510cd3503e203c
hex7cc26a7f12d0

137174452212432 has 80 divisors (see below), whose sum is σ = 362661571279040. Its totient is φ = 44654904999936.

The previous prime is 137174452212379. The next prime is 137174452212467. The reversal of 137174452212432 is 234212254471731.

It is a happy number.

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

It is a congruent number.

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, 9229008 + ... + 18961104.

It is an arithmetic number, because the mean of its divisors is an integer number (4533269640988).

Almost surely, 2137174452212432 is an apocalyptic number.

137174452212432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137174452212432 is an abundant number, since it is smaller than the sum of its proper divisors (225487119066608).

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

137174452212432 is a wasteful number, since it uses less digits than its factorization.

137174452212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738980 (or 9738974 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 137174452212432 in words is "one hundred thirty-seven trillion, one hundred seventy-four billion, four hundred fifty-two million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 6829 13658 20487 27316 40974 54632 81948 109264 163896 293647 327792 587294 880941 1174588 1761882 2349176 3523764 4698352 7047528 9732097 14095056 19464194 29196291 38928388 58392582 77856776 116785164 155713552 233570328 418480171 467140656 836960342 1255440513 1673920684 2510881026 3347841368 5021762052 6695682736 10043524104 20087048208 66460490413 132920980826 199381471239 265841961652 398762942478 531683923304 797525884956 1063367846608 1595051769912 2857801087759 3190103539824 5715602175518 8573403263277 11431204351036 17146806526554 22862408702072 34293613053108 45724817404144 68587226106216 137174452212432