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50166413136 = 24327265718731
BaseRepresentation
bin101110101110001001…
…101011011101010000
311210111011221211112100
4232232021223131100
51310220100210021
635013544200400
73424112322150
oct565611533520
9153434854470
1050166413136
111a3036a5774
129880769100
134966397538
1425dc88c760
1514892b7626
hexbae26b750

50166413136 has 120 divisors (see below), whose sum is σ = 160521850944. Its totient is φ = 14327101440.

The previous prime is 50166413113. The next prime is 50166413161. The reversal of 50166413136 is 63131466105.

50166413136 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 641 + 3 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50166413136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668891 + ... + 2687621.

Almost surely, 250166413136 is an apocalyptic number.

50166413136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50166413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80260925472).

50166413136 is an abundant number, since it is smaller than the sum of its proper divisors (110355437808).

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

50166413136 is a wasteful number, since it uses less digits than its factorization.

50166413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21409 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 50166413136 in words is "fifty billion, one hundred sixty-six million, four hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2657 5314 7971 10628 15942 18599 18731 21256 23913 31884 37198 37462 42512 47826 55797 56193 63768 74396 74924 95652 111594 112386 127536 131117 148792 149848 167391 168579 191304 223188 224772 262234 297584 299696 334782 337158 382608 393351 446376 449544 524468 669564 674316 786702 892752 899088 1048936 1180053 1339128 1348632 1573404 2097872 2360106 2678256 2697264 3146808 4720212 6293616 9440424 18880848 49768267 99536534 149304801 199073068 298609602 348377869 398146136 447914403 597219204 696755738 796292272 895828806 1045133607 1194438408 1393511476 1791657612 2090267214 2388876816 2787022952 3135400821 3583315224 4180534428 5574045904 6270801642 7166630448 8361068856 12541603284 16722137712 25083206568 50166413136