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1064726707720 = 2351317352122717
BaseRepresentation
bin11110111111001101010…
…10000011111000001000
310202210020122010212021011
433133212222003320020
5114421030014121340
62133043444253304
7136631630455504
oct17374652037010
93683218125234
101064726707720
11380603518475
121524269a1234
13795320780b0
143976697b304
151ca68e3a0ea
hexf7e6a83e08

1064726707720 has 128 divisors (see below), whose sum is σ = 2599922435040. Its totient is φ = 390090055680.

The previous prime is 1064726707717. The next prime is 1064726707789. The reversal of 1064726707720 is 277076274601.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 31743123556 + 1032983584164 = 178166^2 + 1016358^2 .

It is a super-2 number, since 2×10647267077202 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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, 46857802 + ... + 46880518.

Almost surely, 21064726707720 is an apocalyptic number.

1064726707720 is a gapful number since it is divisible by the number (10) 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 1064726707720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299961217520).

1064726707720 is an abundant number, since it is smaller than the sum of its proper divisors (1535195727320).

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

1064726707720 is a wasteful number, since it uses less digits than its factorization.

1064726707720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23435 (or 23431 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 1064726707720 in words is "one trillion, sixty-four billion, seven hundred twenty-six million, seven hundred seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 173 260 346 520 521 692 865 1042 1384 1730 2084 2249 2605 3460 4168 4498 5210 6773 6920 8996 10420 11245 13546 17992 20840 22490 22717 27092 33865 44980 45434 54184 67730 89960 90133 90868 113585 135460 180266 181736 227170 270920 295321 360532 450665 454340 590642 721064 901330 908680 1171729 1181284 1476605 1802660 2343458 2362568 2953210 3605320 3930041 4686916 5858645 5906420 7860082 9373832 11717290 11812840 11835557 15720164 19650205 23434580 23671114 31440328 39300410 46869160 47342228 51090533 59177785 78600820 94684456 102181066 118355570 153862241 157201640 204362132 236711140 255452665 307724482 408724264 473422280 510905330 615448964 769311205 1021810660 1230897928 1538622410 2043621320 2047551361 3077244820 4095102722 6154489640 8190205444 10237756805 16380410888 20475513610 26618167693 40951027220 53236335386 81902054440 106472670772 133090838465 212945341544 266181676930 532363353860 1064726707720