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1052767764412 = 22713101127225479
BaseRepresentation
bin11110101000111011101…
…10010011111110111100
310201122101012021121002221
433110131312103332330
5114222032021430122
62123345042455124
7136026365230540
oct17243566237674
93648335247087
101052767764412
11376526a59351
121500499644a4
137837758a090
1438d505a9a20
151c5b90c96c7
hexf51dd93fbc

1052767764412 has 96 divisors (see below), whose sum is σ = 2307991633920. Its totient is φ = 409107283200.

The previous prime is 1052767764403. The next prime is 1052767764437. The reversal of 1052767764412 is 2144677672501.

It is a super-2 number, since 2×10527677644122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 1052767764412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4556289 + ... + 4781767.

It is an arithmetic number, because the mean of its divisors is an integer number (24041579520).

Almost surely, 21052767764412 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 1052767764412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153995816960).

1052767764412 is an abundant number, since it is smaller than the sum of its proper divisors (1255223869508).

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

1052767764412 is a wasteful number, since it uses less digits than its factorization.

1052767764412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225731 (or 225729 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 1052767764412 in words is "one trillion, fifty-two billion, seven hundred sixty-seven million, seven hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 127 182 202 254 364 404 508 707 889 1313 1414 1651 1778 2626 2828 3302 3556 5252 6604 9191 11557 12827 18382 23114 25654 36764 46228 51308 89789 166751 179578 225479 333502 359156 450958 667004 901916 1167257 1578353 2334514 2931227 3156706 4669028 5862454 6313412 11724908 20518589 22773379 28635833 41037178 45546758 57271666 82074356 91093516 114543332 159413653 200450831 296053927 318827306 372265829 400901662 592107854 637654612 744531658 801803324 1184215708 1489063316 2072377489 2605860803 2892219133 4144754978 5211721606 5784438266 8289509956 10423443212 11568876532 20245533931 37598848729 40491067862 75197697458 80982135724 150395394916 263191941103 526383882206 1052767764412