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40520594946 = 23132314727427
BaseRepresentation
bin100101101111001101…
…110011011000000010
310212120221122111111210
4211233031303120002
51130441233014241
630340452550550
72633065242216
oct455715633002
9125527574453
1040520594946
11162039017a7
127a2a322456
133a89b98800
141d657a4946
1510c256c316
hex96f373602

40520594946 has 96 divisors (see below), whose sum is σ = 92516179968. Its totient is φ = 11808538560.

The previous prime is 40520594927. The next prime is 40520594957. The reversal of 40520594946 is 64949502504.

40520594946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×405205949462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40520594895 and 40520594904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463685 + ... + 1491111.

It is an arithmetic number, because the mean of its divisors is an integer number (963710208).

Almost surely, 240520594946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40520594946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46258089984).

40520594946 is an abundant number, since it is smaller than the sum of its proper divisors (51995585022).

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

40520594946 is a wasteful number, since it uses less digits than its factorization.

40520594946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27536 (or 27523 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 40520594946 in words is "forty billion, five hundred twenty million, five hundred ninety-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 47 62 78 93 94 141 169 186 282 338 403 507 611 806 1014 1209 1222 1457 1833 2418 2914 3666 4371 5239 7943 8742 10478 15717 15886 18941 23829 27427 31434 37882 47658 54854 56823 82281 113646 164562 246233 356551 492466 713102 738699 850237 1069653 1289069 1477398 1700474 2139306 2550711 2578138 3867207 4635163 5101422 7734414 9270326 11053081 13905489 16757897 22106162 27810978 33159243 33515794 39961139 50273691 66318486 79922278 100547382 119883417 143690053 217852661 239766834 287380106 431070159 435705322 519494807 653557983 862140318 1038989614 1307115966 1558484421 3116968842 6753432491 13506864982 20260297473 40520594946