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40492968192 = 283229606037
BaseRepresentation
bin100101101101100100…
…011010100100000000
310212112000122220201200
4211231210122210000
51130412144440232
630334024501200
72632311356565
oct455544324400
9125460586650
1040492968192
111619a252376
127a2101a800
133a84244b11
141d61c5286c
1510bee1177c
hex96d91a900

40492968192 has 108 divisors (see below), whose sum is σ = 120777313020. Its totient is φ = 13032198144.

The previous prime is 40492968181. The next prime is 40492968203. The reversal of 40492968192 is 29186929404.

40492968192 is a `hidden beast` number, since 4 + 0 + 492 + 9 + 68 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (40492968181) and next prime (40492968203).

It can be written as a sum of positive squares in 2 ways, for example, as 21686685696 + 18806282496 = 147264^2 + 137136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236203 + ... + 369834.

Almost surely, 240492968192 is an apocalyptic number.

It is an amenable number.

40492968192 is an abundant number, since it is smaller than the sum of its proper divisors (80284344828).

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

40492968192 is a wasteful number, since it uses less digits than its factorization.

40492968192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606088 (or 606071 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 40492968192 in words is "forty billion, four hundred ninety-two million, nine hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 606037 1212074 1818111 2424148 3636222 4848296 5454333 7272444 9696592 10908666 14544888 17575073 19393184 21817332 29089776 35150146 38786368 43634664 52725219 58179552 70300292 77572736 87269328 105450438 116359104 140600584 155145472 158175657 174538656 210900876 232718208 281201168 316351314 349077312 421801752 465436416 562402336 632702628 698154624 843603504 1124804672 1265405256 1396309248 1687207008 2249609344 2530810512 3374414016 4499218688 5061621024 6748828032 10123242048 13497656064 20246484096 40492968192