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33130902843025 = 5213217252092
BaseRepresentation
bin1111000100001111000111…
…01100011110111010010001
311100022021122120202110100121
413202013203230132322101
513320304042111434100
6154244043204550241
76656425441430131
oct742074354367221
9140267576673317
1033130902843025
11a613811a30219
123870ba83b2381
1315642ccbc4400
14827789608ac1
153c6c2677051a
hex1e21e3b1ee91

33130902843025 has 81 divisors (see below), whose sum is σ = 47265391093401. Its totient is φ = 23022306478080.

The previous prime is 33130902842953. The next prime is 33130902843089. The reversal of 33130902843025 is 52034820903133.

The square root of 33130902843025 is 5755945.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 27874778037649 + 5256124805376 = 5279657^2 + 2292624^2 .

It is not a de Polignac number, because 33130902843025 - 229 = 33130365972113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6360316621 + ... + 6360321829.

Almost surely, 233130902843025 is an apocalyptic number.

33130902843025 is the 5755945-th square number.

33130902843025 is the 2877973-rd centered octagonal number.

It is an amenable number.

33130902843025 is a deficient number, since it is larger than the sum of its proper divisors (14134488250376).

33130902843025 is an frugal number, since it uses more digits than its factorization.

33130902843025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 33130902843025 in words is "thirty-three trillion, one hundred thirty billion, nine hundred two million, eight hundred forty-three thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 845 1105 1445 2873 3757 4225 5209 5525 7225 14365 18785 26045 48841 67717 71825 88553 93925 130225 244205 338585 442765 880321 1151189 1221025 1505401 1692925 2213825 4401605 5755945 7527005 14965457 19570213 22008025 27133681 28779725 37635025 74827285 97851065 135668405 254412769 352737853 374136425 461272577 489255325 678342025 1272063845 1763689265 2306362885 4585592089 5996543501 6360319225 7841633809 8818446325 11531814425 22927960445 29982717505 39208169045 77955065513 101941239517 114639802225 149913587525 196040845225 389775327565 509706197585 1325236113721 1948876637825 2548530987925 6626180568605 33130902843025