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50946064128 = 283329254161
BaseRepresentation
bin101111011100100111…
…110011111100000000
311212111112000012122000
4233130213303330000
51313314143023003
635223154544000
73452330254131
oct573447637400
9155445005560
1050946064128
111a6737a8033
129a59898000
134a5ba7419b
14267423bc88
1514d29701a3
hexbdc9f3f00

50946064128 has 144 divisors (see below), whose sum is σ = 155852138400. Its totient is φ = 16396369920.

The previous prime is 50946064123. The next prime is 50946064153. The reversal of 50946064128 is 82146064905.

50946064128 is a `hidden beast` number, since 5 + 0 + 9 + 460 + 64 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50946064123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73368 + ... + 327528.

Almost surely, 250946064128 is an apocalyptic number.

50946064128 is a gapful number since it is divisible by the number (58) 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 50946064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77926069200).

50946064128 is an abundant number, since it is smaller than the sum of its proper divisors (104906074272).

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

50946064128 is a wasteful number, since it uses less digits than its factorization.

50946064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254215 (or 254195 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 50946064128 in words is "fifty billion, nine hundred forty-six million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6912 7424 8352 11136 12528 16704 22272 25056 33408 50112 66816 100224 200448 254161 508322 762483 1016644 1524966 2033288 2287449 3049932 4066576 4574898 6099864 6862347 7370669 8133152 9149796 12199728 13724694 14741338 16266304 18299592 22112007 24399456 27449388 29482676 32532608 36599184 44224014 48798912 54898776 58965352 65065216 66336021 73198368 88448028 97597824 109797552 117930704 132672042 146396736 176896056 195195648 199008063 219595104 235861408 265344084 292793472 353792112 398016126 439190208 471722816 530688168 585586944 707584224 796032252 878380416 943445632 1061376336 1415168448 1592064504 1756760832 1886891264 2122752672 2830336896 3184129008 4245505344 5660673792 6368258016 8491010688 12736516032 16982021376 25473032064 50946064128