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1053522613536 = 253291231307409
BaseRepresentation
bin11110101010010101101…
…01110101010100100000
310201201022210122220102220
433111022311311110200
5114230103242113121
62123552005511040
7136054162314051
oct17251265652440
93651283586386
101053522613536
113768840606a8
1215021a712480
1378467a91a73
1438dc2940728
151c6104d36c6
hexf54ad75520

1053522613536 has 96 divisors (see below), whose sum is σ = 2863192147200. Its totient is φ = 338788208640.

The previous prime is 1053522613523. The next prime is 1053522613589. The reversal of 1053522613536 is 6353162253501.

1053522613536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10535226135362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3273400 + ... + 3580808.

It is an arithmetic number, because the mean of its divisors is an integer number (29824918200).

Almost surely, 21053522613536 is an apocalyptic number.

1053522613536 is a gapful number since it is divisible by the number (16) 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 1053522613536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431596073600).

1053522613536 is an abundant number, since it is smaller than the sum of its proper divisors (1809669533664).

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

1053522613536 is a wasteful number, since it uses less digits than its factorization.

1053522613536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308682 (or 308674 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 1053522613536 in words is "one trillion, fifty-three billion, five hundred twenty-two million, six hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1231 1392 2462 2784 3693 4924 7386 9848 14772 19696 29544 35699 39392 59088 71398 107097 118176 142796 214194 285592 307409 428388 571184 614818 856776 922227 1142368 1229636 1713552 1844454 2459272 3427104 3688908 4918544 7377816 8914861 9837088 14755632 17829722 26744583 29511264 35659444 53489166 71318888 106978332 142637776 213956664 285275552 378420479 427913328 756840958 855826656 1135261437 1513681916 2270522874 3027363832 4541045748 6054727664 9082091496 10974193891 12109455328 18164182992 21948387782 32922581673 36328365984 43896775564 65845163346 87793551128 131690326692 175587102256 263380653384 351174204512 526761306768 1053522613536