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90470762838544 = 241122161732
BaseRepresentation
bin10100100100100001011101…
…101011100111101000010000
3102212022220212000102022002011
4110210201131223213220100
543324233110241313134
6520225410015032304
725025203561545454
oct2444413553475020
9385286760368064
1090470762838544
1126910487066500
12a191a0b50b694
133b63482b1476a
14184ab45d12664
15a6d54381c264
hex52485dae7a10

90470762838544 has 45 divisors (see below), whose sum is σ = 192671839210669. Its totient is φ = 41122883785280.

The previous prime is 90470762838473. The next prime is 90470762838553. The reversal of 90470762838544 is 44583826707409.

The square root of 90470762838544 is 9511612.

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., 18991989680400 + 71478773158144 = 4357980^2 + 8454512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90470762838544.

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, 418402842 + ... + 418619014.

Almost surely, 290470762838544 is an apocalyptic number.

90470762838544 is the 9511612-nd square number.

It is an amenable number.

90470762838544 is an abundant number, since it is smaller than the sum of its proper divisors (102201076372125).

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

90470762838544 is an frugal number, since it uses more digits than its factorization.

90470762838544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432376 (or 216186 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 67.

The spelling of 90470762838544 in words is "ninety trillion, four hundred seventy billion, seven hundred sixty-two million, eight hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 216173 432346 864692 1729384 2377903 3458768 4755806 9511612 19023224 26156933 38046448 52313866 104627732 209255464 418510928 46730765929 93461531858 186923063716 373846127432 514038425219 747692254864 1028076850438 2056153700876 4112307401752 5654422677409 8224614803504 11308845354818 22617690709636 45235381419272 90470762838544