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264435130106445 = 351910715157426661
BaseRepresentation
bin111100001000000010011001…
…111111110000001001001101
31021200021202021212202221220010
4330020002121333300021031
5234130001121301401240
62334223453254143433
7106461544015326654
oct7410023177601115
91250252255687803
10264435130106445
1177291344154341
12257a9372051b79
13b47218341cb5c
144942a2b35619b
1520888706c6280
hexf08099ff024d

264435130106445 has 64 divisors (see below), whose sum is σ = 452503720028160. Its totient is φ = 131484080736000.

The previous prime is 264435130106417. The next prime is 264435130106453. The reversal of 264435130106445 is 544601031534462.

It is not a de Polignac number, because 264435130106445 - 29 = 264435130105933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264435130106394 and 264435130106403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24108586 + ... + 33318075.

It is an arithmetic number, because the mean of its divisors is an integer number (7070370625440).

Almost surely, 2264435130106445 is an apocalyptic number.

It is an amenable number.

264435130106445 is a deficient number, since it is larger than the sum of its proper divisors (188068589921715).

264435130106445 is a wasteful number, since it uses less digits than its factorization.

264435130106445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57426946.

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 264435130106445 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred thirty million, one hundred six thousand, four hundred forty-five".

Divisors: 1 3 5 15 19 57 95 107 151 285 321 453 535 755 1605 2033 2265 2869 6099 8607 10165 14345 16157 30495 43035 48471 80785 242355 306983 920949 1534915 4604745 57426661 172279983 287133305 861399915 1091106559 3273319677 5455532795 6144652727 8671425811 16366598385 18433958181 26014277433 30723263635 43357129055 92169790905 116748401813 130071387165 164757090409 350245205439 494271271227 583742009065 823785452045 927842561777 1751226027195 2471356356135 2783527685331 4639212808885 13917638426655 17629008673763 52887026021289 88145043368815 264435130106445