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45517696802640 = 2433521073007779
BaseRepresentation
bin10100101100101111010100…
…01001100001111101010000
312222011110010112220120102000
422112113222021201331100
521431230220340141030
6240450312523554000
712405354650033166
oct1226275211417520
9188143115816360
1045517696802640
1113559a46223857
12513177468b900
131c523b9c5cb3a
14b350d5509236
1553e0469d8860
hex2965ea261f50

45517696802640 has 80 divisors (see below), whose sum is σ = 156783177883200. Its totient is φ = 12138052480128.

The previous prime is 45517696802639. The next prime is 45517696802707. The reversal of 45517696802640 is 4620869671554.

45517696802640 is a `hidden beast` number, since 4 + 5 + 517 + 6 + 96 + 8 + 0 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×455176968026402 (a number of 28 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, 10536501730 + ... + 10536506049.

It is an arithmetic number, because the mean of its divisors is an integer number (1959789723540).

Almost surely, 245517696802640 is an apocalyptic number.

45517696802640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45517696802640 is an abundant number, since it is smaller than the sum of its proper divisors (111265481080560).

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

45517696802640 is a wasteful number, since it uses less digits than its factorization.

45517696802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21073007801 (or 21073007789 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 45517696802640 in words is "forty-five trillion, five hundred seventeen billion, six hundred ninety-six million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 21073007779 42146015558 63219023337 84292031116 105365038895 126438046674 168584062232 189657070011 210730077790 252876093348 316095116685 337168124464 379314140022 421460155580 505752186696 568971210033 632190233370 758628280044 842920311160 948285350055 1011504373392 1137942420066 1264380466740 1517256560088 1685840622320 1896570700110 2275884840132 2528760933480 2844856050165 3034513120176 3793141400220 4551769680264 5057521866960 5689712100330 7586282800440 9103539360528 11379424200660 15172565600880 22758848401320 45517696802640