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907131589028 = 227241379329761
BaseRepresentation
bin11010011001101010100…
…00011001000110100100
310012201110120010100020022
431030311100121012210
5104330301141322103
61532421442054312
7122352365166200
oct15146520310644
93181416110208
10907131589028
1131a792151225
1212798464a398
1367708115b82
1431c965d7b00
15188e368a138
hexd3354191a4

907131589028 has 72 divisors (see below), whose sum is σ = 1892263555224. Its totient is φ = 379175731200.

The previous prime is 907131588997. The next prime is 907131589031. The reversal of 907131589028 is 820985131709.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56663993764 + 850467595264 = 238042^2 + 922208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30465668 + ... + 30495428.

It is an arithmetic number, because the mean of its divisors is an integer number (26281438267).

Almost surely, 2907131589028 is an apocalyptic number.

907131589028 is a gapful number since it is divisible by the number (98) 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 907131589028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946131777612).

907131589028 is an abundant number, since it is smaller than the sum of its proper divisors (985131966196).

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

907131589028 is a wasteful number, since it uses less digits than its factorization.

907131589028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33613 (or 33604 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 907131589028 in words is "nine hundred seven billion, one hundred thirty-one million, five hundred eighty-nine thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 3793 4018 7586 8036 15172 26551 29761 53102 59522 106204 119044 155513 185857 208327 311026 371714 416654 622052 743428 833308 1088591 1220201 1458289 2177182 2440402 2916578 4354364 4880804 5833156 7620137 8541407 15240274 17082814 30480548 34165628 59789849 112883473 119579698 225766946 239159396 451533892 790184311 1580368622 3160737244 4628222393 5531290177 9256444786 11062580354 18512889572 22125160708 32397556751 64795113502 129590227004 226782897257 453565794514 907131589028