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137622573072 = 2434293661733
BaseRepresentation
bin1000000000101011110…
…0011101000000010000
3111011020011011002010000
42000022330131000100
54223322334314242
6143120053210000
712641262366315
oct2001274350020
9434204132100
10137622573072
115340239a0a6
1222809630900
13cc9317a9ba
1469379a6d0c
1538a7158a4c
hex200af1d010

137622573072 has 100 divisors (see below), whose sum is σ = 412054927020. Its totient is φ = 44292310272.

The previous prime is 137622573031. The next prime is 137622573131. The reversal of 137622573072 is 270375226731.

It is a happy number.

137622573072 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 2 + 573 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39618513936 + 98004059136 = 199044^2 + 313056^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1793283 + ... + 1868450.

Almost surely, 2137622573072 is an apocalyptic number.

137622573072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137622573072 is an abundant number, since it is smaller than the sum of its proper divisors (274432353948).

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

137622573072 is a wasteful number, since it uses less digits than its factorization.

137622573072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661782 (or 3661767 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 137622573072 in words is "one hundred thirty-seven billion, six hundred twenty-two million, five hundred seventy-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 3661733 7323466 10985199 14646932 21970398 29293864 32955597 43940796 58587728 65911194 87881592 98866791 106190257 131822388 175763184 197733582 212380514 263644776 296600373 318570771 395467164 424761028 527289552 593200746 637141542 790934328 849522056 955712313 1186401492 1274283084 1581868656 1699044112 1911424626 2372802984 2548566168 2867136939 3822849252 4745605968 5097132336 5734273878 7645698504 8601410817 11468547756 15291397008 17202821634 22937095512 34405643268 45874191024 68811286536 137622573072