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40426670956 = 227171938911491
BaseRepresentation
bin100101101001100111…
…100000101101101100
310212100101220200000111
4211221213200231230
51130243211432311
630323255505404
72630545014310
oct455147405554
9125311820014
1040426670956
1116165890271
127a02988264
133a735a1799
141d57115b40
1510b91b7d21
hex9699e0b6c

40426670956 has 96 divisors (see below), whose sum is σ = 90354700800. Its totient is φ = 15407262720.

The previous prime is 40426670951. The next prime is 40426670987. The reversal of 40426670956 is 65907662404.

40426670956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40426670951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3512371 + ... + 3523861.

It is an arithmetic number, because the mean of its divisors is an integer number (941194800).

Almost surely, 240426670956 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 40426670956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177350400).

40426670956 is an abundant number, since it is smaller than the sum of its proper divisors (49928029844).

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

40426670956 is a wasteful number, since it uses less digits than its factorization.

40426670956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 40426670956 in words is "forty billion, four hundred twenty-six million, six hundred seventy thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 389 476 532 646 778 1292 1556 2261 2723 4522 5446 6613 7391 9044 10892 11491 13226 14782 22982 26452 29564 45964 46291 51737 80437 92582 103474 125647 160874 185164 195347 206948 218329 251294 321748 390694 436658 502588 781388 873316 879529 1367429 1528303 1759058 2734858 3056606 3518116 3711593 4469999 5469716 6113212 7423186 8939998 14846372 17879996 25981151 31289993 51962302 62579986 75989983 84929981 103924604 125159972 151979966 169859962 303959932 339719924 531929881 594509867 1063859762 1189019734 1443809677 2127719524 2378039468 2887619354 5775238708 10106667739 20213335478 40426670956