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40792937952 = 2531359554011
BaseRepresentation
bin100101111111011100…
…101101010111100000
310220021221002221212210
4211333130231113200
51132020443003302
630423502122120
72642613152154
oct457734552740
9126257087783
1040792937952
1116333606068
127aa5580340
133b01431c10
141d8da19064
1510db41666c
hex97f72d5e0

40792937952 has 96 divisors (see below), whose sum is σ = 117273260160. Its totient is φ = 12338910720.

The previous prime is 40792937929. The next prime is 40792937959. The reversal of 40792937952 is 25973929704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40792937892 and 40792937901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40792937959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203374 + ... + 350637.

It is an arithmetic number, because the mean of its divisors is an integer number (1221596460).

Almost surely, 240792937952 is an apocalyptic number.

It is an amenable number.

40792937952 is an abundant number, since it is smaller than the sum of its proper divisors (76480322208).

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

40792937952 is a wasteful number, since it uses less digits than its factorization.

40792937952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554096 (or 554088 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 40792937952 in words is "forty billion, seven hundred ninety-two million, nine hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 554011 1108022 1662033 2216044 3324066 4432088 6648132 7202143 8864176 13296264 14404286 17728352 21606429 26592528 28808572 32686649 43212858 53185056 57617144 65373298 86425716 98059947 115234288 130746596 172851432 196119894 230468576 261493192 345702864 392239788 424926437 522986384 691405728 784479576 849852874 1045972768 1274779311 1568959152 1699705748 2549558622 3137918304 3399411496 5099117244 6798822992 10198234488 13597645984 20396468976 40792937952