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40291007796 = 22331329397943
BaseRepresentation
bin100101100001100001…
…111111110100110100
310211222221122021011000
4211201201333310310
51130003444222141
630302012043300
72624306626014
oct454141776464
9124887567130
1040291007796
11160a6250556
127985463530
133a51452420
141d430bdc44
1510ac31b5b6
hex96187fd34

40291007796 has 96 divisors (see below), whose sum is σ = 112878501120. Its totient is φ = 12354795648.

The previous prime is 40291007753. The next prime is 40291007831. The reversal of 40291007796 is 69770019204.

40291007796 is a `hidden beast` number, since 402 + 91 + 0 + 0 + 77 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362401 + ... + 460343.

It is an arithmetic number, because the mean of its divisors is an integer number (1175817720).

Almost surely, 240291007796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40291007796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56439250560).

40291007796 is an abundant number, since it is smaller than the sum of its proper divisors (72587493324).

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

40291007796 is a wasteful number, since it uses less digits than its factorization.

40291007796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98262 (or 98254 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 40291007796 in words is "forty billion, two hundred ninety-one million, seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 293 351 468 586 702 879 1172 1404 1758 2637 3516 3809 5274 7618 7911 10548 11427 15236 15822 22854 31644 34281 45708 68562 97943 102843 137124 195886 205686 293829 391772 411372 587658 881487 1175316 1273259 1762974 2546518 2644461 3525948 3819777 5093036 5288922 7639554 10577844 11459331 15279108 22918662 28697299 34377993 45837324 57394598 68755986 86091897 114789196 137511972 172183794 258275691 344367588 373064887 516551382 746129774 774827073 1033102764 1119194661 1492259548 1549654146 2238389322 3099308292 3357583983 4476778644 6715167966 10072751949 13430335932 20145503898 40291007796