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90333909136 = 2429225912
BaseRepresentation
bin101010000100001010…
…0100001000010010000
322122011112012001100101
41110020110201002100
52440000440043021
6105255425102144
76345362362402
oct1241024410220
9278145161311
1090333909136
1135346155a59
1215610787954
138698063453
14452d3bab72
15253a837a91
hex1508521090

90333909136 has 45 divisors (see below), whose sum is σ = 181335286873. Its totient is φ = 43592642240.

The previous prime is 90333909119. The next prime is 90333909143. The reversal of 90333909136 is 63190933309.

The square root of 90333909136 is 300556.

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

It can be written as a sum of positive squares in only one way, i.e., 47368910736 + 42964998400 = 217644^2 + 207280^2 .

It is a super-2 number, since 2×903339091362 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34863201 + ... + 34865791.

Almost surely, 290333909136 is an apocalyptic number.

90333909136 is the 300556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90333909136

90333909136 is an abundant number, since it is smaller than the sum of its proper divisors (91001377737).

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

90333909136 is an frugal number, since it uses more digits than its factorization.

90333909136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 46.

The spelling of 90333909136 in words is "ninety billion, three hundred thirty-three million, nine hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 2591 3364 5182 6728 10364 13456 20728 41456 75139 150278 300556 601112 1202224 2179031 4358062 6713281 8716124 13426562 17432248 26853124 34864496 53706248 107412496 194685149 389370298 778740596 1557481192 3114962384 5645869321 11291738642 22583477284 45166954568 90333909136