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50105102976 = 2732224319391
BaseRepresentation
bin101110101010011111…
…110011001010000000
311210022220120221210200
4232222133303022000
51310103401243401
635003514125200
73422436230265
oct565237631200
9153286527720
1050105102976
111a28202a515
129864120800
13495677c136
1425d468d26c
151483c06686
hexbaa7f3280

50105102976 has 96 divisors (see below), whose sum is σ = 144254373120. Its totient is φ = 16693393920.

The previous prime is 50105102903. The next prime is 50105102981. The reversal of 50105102976 is 67920150105.

50105102976 is a `hidden beast` number, since 50 + 1 + 0 + 510 + 2 + 97 + 6 = 666.

50105102976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 50105102976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574241 + ... + 2593631.

It is an arithmetic number, because the mean of its divisors is an integer number (1502649720).

Almost surely, 250105102976 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 50105102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72127186560).

50105102976 is an abundant number, since it is smaller than the sum of its proper divisors (94149270144).

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

50105102976 is a wasteful number, since it uses less digits than its factorization.

50105102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21654 (or 21639 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 50105102976 in words is "fifty billion, one hundred five million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2243 4486 6729 8972 13458 17944 19391 20187 26916 35888 38782 40374 53832 58173 71776 77564 80748 107664 116346 143552 155128 161496 174519 215328 232692 287104 310256 322992 349038 430656 465384 620512 645984 698076 861312 930768 1241024 1291968 1396152 1861536 2482048 2583936 2792304 3723072 5584608 7446144 11169216 22338432 43494013 86988026 130482039 173976052 260964078 347952104 391446117 521928156 695904208 782892234 1043856312 1391808416 1565784468 2087712624 2783616832 3131568936 4175425248 5567233664 6263137872 8350850496 12526275744 16701700992 25052551488 50105102976