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1056111049952 = 25753103985619
BaseRepresentation
bin11110101111001010001…
…11111011110011100000
310201222000012021002200022
433113211013323303200
5114300403412044302
62125100513013012
7136205262543650
oct17274507736340
93658005232608
101056111049952
11377992178252
12150821554168
137878b11654a
143918a612360
151c71287c8a2
hexf5e51fbce0

1056111049952 has 96 divisors (see below), whose sum is σ = 2423443276800. Its totient is φ = 443646448128.

The previous prime is 1056111049901. The next prime is 1056111049963. The reversal of 1056111049952 is 2599401116501.

It is a super-2 number, since 2×10561110499522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 12292199 + ... + 12377817.

It is an arithmetic number, because the mean of its divisors is an integer number (25244200800).

Almost surely, 21056111049952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056111049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211721638400).

1056111049952 is an abundant number, since it is smaller than the sum of its proper divisors (1367332226848).

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

1056111049952 is a wasteful number, since it uses less digits than its factorization.

1056111049952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86728 (or 86720 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 44.

The spelling of 1056111049952 in words is "one trillion, fifty-six billion, one hundred eleven million, forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1039 1484 1696 2078 2968 4156 5936 7273 8312 11872 14546 16624 29092 33248 55067 58184 85619 110134 116368 171238 220268 232736 342476 385469 440536 599333 684952 770938 881072 1198666 1369904 1541876 1762144 2397332 2739808 3083752 4537807 4794664 6167504 9075614 9589328 12335008 18151228 19178656 31764649 36302456 63529298 72604912 88958141 127058596 145209824 177916282 254117192 355832564 508234384 622706987 711665128 1016468768 1245413974 1423330256 2490827948 2846660512 4714781473 4981655896 9429562946 9963311792 18859125892 19926623584 33003470311 37718251784 66006940622 75436503568 132013881244 150873007136 264027762488 528055524976 1056111049952