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242532033260 = 2251173101149521
BaseRepresentation
bin1110000111100000001…
…0010010001011101100
3212012000110210211122112
43201320002102023230
512433201200031020
6303230115103152
723344112160656
oct3417002221354
9765013724575
10242532033260
1193948012310
123b0075a1ab8
1319b41b3846a
14ba4aa7b6d6
1564973b32c5
hex38780922ec

242532033260 has 96 divisors (see below), whose sum is σ = 568810396224. Its totient is φ = 86123520000.

The previous prime is 242532033251. The next prime is 242532033323. The reversal of 242532033260 is 62330235242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547300 + ... + 1696820.

It is an arithmetic number, because the mean of its divisors is an integer number (5925108294).

Almost surely, 2242532033260 is an apocalyptic number.

242532033260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242532033260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284405198112).

242532033260 is an abundant number, since it is smaller than the sum of its proper divisors (326278362964).

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

242532033260 is a wasteful number, since it uses less digits than its factorization.

242532033260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149715 (or 149713 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 242532033260 in words is "two hundred forty-two billion, five hundred thirty-two million, thirty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 101 110 146 202 220 292 365 404 505 730 803 1010 1111 1460 1606 2020 2222 3212 4015 4444 5555 7373 8030 11110 14746 16060 22220 29492 36865 73730 81103 147460 149521 162206 299042 324412 405515 598084 747605 811030 1495210 1622060 1644731 2990420 3289462 6578924 8223655 10915033 15101621 16447310 21830066 30203242 32894620 43660132 54575165 60406484 75508105 109150330 120065363 151016210 166117831 218300660 240130726 302032420 332235662 480261452 600326815 664471324 830589155 1102418333 1200653630 1661178310 2204836666 2401307260 3322356620 4409673332 5512091665 11024183330 12126601663 22048366660 24253203326 48506406652 60633008315 121266016630 242532033260