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40607763336 = 23327212790631
BaseRepresentation
bin100101110100011010…
…010100101110001000
310212211000200010001200
4211310122110232020
51131131041411321
630353245144200
72635204202400
oct456432245610
9125730603050
1040607763336
1116249029698
127a5355b060
133aa1c6893a
141d731b5800
1510ca039d26
hex974694b88

40607763336 has 144 divisors (see below), whose sum is σ = 128943959040. Its totient is φ = 11510735040.

The previous prime is 40607763331. The next prime is 40607763341. The reversal of 40607763336 is 63336770604.

40607763336 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 7 + 7 + 633 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40607763331) and next prime (40607763341).

It is a junction number, because it is equal to n+sod(n) for n = 40607763291 and 40607763300.

It is not an unprimeable number, because it can be changed into a prime (40607763331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402741 + ... + 493371.

It is an arithmetic number, because the mean of its divisors is an integer number (895444160).

Almost surely, 240607763336 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 40607763336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471979520).

40607763336 is an abundant number, since it is smaller than the sum of its proper divisors (88336195704).

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

40607763336 is a wasteful number, since it uses less digits than its factorization.

40607763336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90784 (or 90770 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 40607763336 in words is "forty billion, six hundred seven million, seven hundred sixty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 252 254 294 381 392 441 504 508 588 762 882 889 1016 1143 1176 1524 1764 1778 2286 2667 3048 3528 3556 4572 5334 6223 7112 8001 9144 10668 12446 16002 18669 21336 24892 32004 37338 49784 56007 64008 74676 90631 112014 149352 181262 224028 271893 362524 448056 543786 634417 725048 815679 1087572 1268834 1631358 1903251 2175144 2537668 3262716 3806502 4440919 5075336 5709753 6525432 7613004 8881838 11419506 11510137 13322757 15226008 17763676 22839012 23020274 26645514 34530411 35527352 39968271 45678024 46040548 53291028 69060822 79936542 80570959 92081096 103591233 106582056 138121644 159873084 161141918 207182466 241712877 276243288 319746168 322283836 414364932 483425754 563996713 644567672 725138631 828729864 966851508 1127993426 1450277262 1691990139 1933703016 2255986852 2900554524 3383980278 4511973704 5075970417 5801109048 6767960556 10151940834 13535921112 20303881668 40607763336