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40950488656 = 24711127726029
BaseRepresentation
bin100110001000110101…
…101101111001010000
310220200220120100211001
4212020311231321100
51132331311114111
630451251031344
72646535260520
oct461065557120
9126626510731
1040950488656
1116404535260
127b2a29b554
133b27c7589c
141da690b680
1510ea1881c1
hex988d6de50

40950488656 has 80 divisors (see below), whose sum is σ = 99000627840. Its totient is φ = 15941629440.

The previous prime is 40950488651. The next prime is 40950488681. The reversal of 40950488656 is 65688405904.

It is a junction number, because it is equal to n+sod(n) for n = 40950488597 and 40950488606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40950488651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560250 + ... + 1586278.

It is an arithmetic number, because the mean of its divisors is an integer number (1237507848).

Almost surely, 240950488656 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 40950488656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49500313920).

40950488656 is an abundant number, since it is smaller than the sum of its proper divisors (58050139184).

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

40950488656 is a wasteful number, since it uses less digits than its factorization.

40950488656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27332 (or 27326 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 40950488656 in words is "forty billion, nine hundred fifty million, four hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1277 2554 5108 8939 10216 14047 17878 20432 26029 28094 35756 52058 56188 71512 98329 104116 112376 143024 182203 196658 208232 224752 286319 364406 393316 416464 572638 728812 786632 1145276 1457624 1573264 2004233 2290552 2915248 4008466 4581104 8016932 16033864 32067728 33239033 66478066 132956132 232673231 265912264 365629363 465346462 531824528 731258726 930692924 1462517452 1861385848 2559405541 2925034904 3722771696 5118811082 5850069808 10237622164 20475244328 40950488656