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1059498157264 = 242921611056641
BaseRepresentation
bin11110110101011110000…
…00101110010011010000
310202021202020200222102021
433122233000232103100
5114324323012013024
62130420550301224
7136355231513251
oct17325700562320
93667666628367
101059498157264
113793700a8098
12151407957814
1378baaa76c61
14393cc3c4b28
151c85edd9de4
hexf6af02e4d0

1059498157264 has 40 divisors (see below), whose sum is σ = 2124547803720. Its totient is φ = 511244697600.

The previous prime is 1059498157183. The next prime is 1059498157273. The reversal of 1059498157264 is 4627518949501.

1059498157264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 175695105600 + 883803051664 = 419160^2 + 940108^2 .

It is a super-3 number, since 3×10594981572643 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474384 + ... + 1531024.

It is an arithmetic number, because the mean of its divisors is an integer number (53113695093).

Almost surely, 21059498157264 is an apocalyptic number.

It is an amenable number.

1059498157264 is an abundant number, since it is smaller than the sum of its proper divisors (1065049646456).

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

1059498157264 is a wasteful number, since it uses less digits than its factorization.

1059498157264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058839 (or 1058833 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 1059498157264 in words is "one trillion, fifty-nine billion, four hundred ninety-eight million, one hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 2161 4322 8644 17288 34576 62669 125338 250676 501352 1002704 1056641 2113282 4226564 8453128 16906256 30642589 61285178 122570356 245140712 490281424 2283401201 4566802402 9133604804 18267209608 36534419216 66218634829 132437269658 264874539316 529749078632 1059498157264