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40606006056 = 23371124179091
BaseRepresentation
bin100101110100010011…
…100111101100101000
310212210220100211112020
4211310103213230220
51131130114143211
630353143344440
72635153233210
oct456423475450
9125726324466
1040606006056
11162480393a0
127a52a52120
133aa17a1b25
141d72c79240
1510c9cde306
hex9744e7b28

40606006056 has 128 divisors (see below), whose sum is σ = 126630466560. Its totient is φ = 10541491200.

The previous prime is 40606006039. The next prime is 40606006061. The reversal of 40606006056 is 65060060604.

40606006056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4462071 + ... + 4471161.

It is an arithmetic number, because the mean of its divisors is an integer number (989300520).

Almost surely, 240606006056 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 40606006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63315233280).

40606006056 is an abundant number, since it is smaller than the sum of its proper divisors (86024460504).

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

40606006056 is a wasteful number, since it uses less digits than its factorization.

40606006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 40606006056 in words is "forty billion, six hundred six million, six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2417 4834 7251 9091 9668 14502 16919 18182 19336 26587 27273 29004 33838 36364 50757 53174 54546 58008 63637 67676 72728 79761 100001 101514 106348 109092 127274 135352 159522 186109 190911 200002 203028 212696 218184 254548 300003 319044 372218 381822 400004 406056 509096 558327 600006 638088 700007 744436 763644 800008 1116654 1200012 1400014 1488872 1527288 2100021 2233308 2400024 2800028 4200042 4466616 5600056 8400084 16800168 21972947 43945894 65918841 87891788 131837682 153810629 175783576 241702417 263675364 307621258 461431887 483404834 527350728 615242516 725107251 922863774 966809668 1230485032 1450214502 1691916919 1845727548 1933619336 2900429004 3383833838 3691455096 5075750757 5800858008 6767667676 10151501514 13535335352 20303003028 40606006056