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40005601768 = 2311241328101
BaseRepresentation
bin100101010000100001…
…010000100111101000
310211021001121010200101
4211100201100213220
51123412413224033
630213414515144
72614243001326
oct452041204750
9124231533611
1040005601768
1115a6a134800
127905965ab4
133a07294212
141d17228d16
15109224197d
hex9508509e8

40005601768 has 24 divisors (see below), whose sum is σ = 82449563490. Its totient is φ = 18184364000.

The previous prime is 40005601739. The next prime is 40005601777. The reversal of 40005601768 is 86710650004.

It can be written as a sum of positive squares in only one way, i.e., 31825846404 + 8179755364 = 178398^2 + 90442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20663083 + ... + 20665018.

Almost surely, 240005601768 is an apocalyptic number.

It is an amenable number.

40005601768 is an abundant number, since it is smaller than the sum of its proper divisors (42443961722).

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

40005601768 is a wasteful number, since it uses less digits than its factorization.

40005601768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41328129 (or 41328114 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 40005601768 in words is "forty billion, five million, six hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 41328101 82656202 165312404 330624808 454609111 909218222 1818436444 3636872888 5000700221 10001400442 20002800884 40005601768