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2045293132960 = 255711166014053
BaseRepresentation
bin11101110000110100111…
…110000111110010100000
321020112020222212101212001
4131300310332013302200
5232002230020223320
64203332242013344
7300524161532260
oct35606476076240
97215228771761
102045293132960
1171944971aa80
12290484647254
1311ab4110a76c
1470dc80257a0
153830952020a
hex1dc34f87ca0

2045293132960 has 96 divisors (see below), whose sum is σ = 6024317991552. Its totient is φ = 637493959680.

The previous prime is 2045293132931. The next prime is 2045293132999. The reversal of 2045293132960 is 692313925402.

It is a self number, because there is not a number n which added to its sum of digits gives 2045293132960.

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, 82994707 + ... + 83019346.

It is an arithmetic number, because the mean of its divisors is an integer number (62753312412).

Almost surely, 22045293132960 is an apocalyptic number.

2045293132960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045293132960 is an abundant number, since it is smaller than the sum of its proper divisors (3979024858592).

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

2045293132960 is a wasteful number, since it uses less digits than its factorization.

2045293132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166014086 (or 166014078 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 2045293132960 in words is "two trillion, forty-five billion, two hundred ninety-three million, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 166014053 332028106 664056212 830070265 1162098371 1328112424 1660140530 1826154583 2324196742 2656224848 3320281060 3652309166 4648393484 5312449696 5810491855 6640562120 7304618332 9130772915 9296786968 11620983710 12783082081 13281124240 14609236664 18261545830 18593573936 23241967420 25566164162 26562248480 29218473328 36523091660 37187147872 46483934840 51132328324 58436946656 63915410405 73046183320 92967869680 102264656648 127830820810 146092366640 185935739360 204529313296 255661641620 292184733280 409058626592 511323283240 1022646566480 2045293132960