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51286770432 = 283323322607
BaseRepresentation
bin101111110000111011…
…100000001100000000
311220101021002212211000
4233300323200030000
51320013403123212
635321045252000
73463635233022
oct576073401400
9156337085730
1051286770432
111a829054797
129b33a04000
134ab4525151
1426a75aa012
1515028201dc
hexbf0ee0300

51286770432 has 144 divisors (see below), whose sum is σ = 158258580480. Its totient is φ = 16352252928.

The previous prime is 51286770421. The next prime is 51286770443. The reversal of 51286770432 is 23407768215.

51286770432 is a `hidden beast` number, since 512 + 8 + 67 + 70 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51286770421) and next prime (51286770443).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328 + ... + 320279.

It is an arithmetic number, because the mean of its divisors is an integer number (1099017920).

Almost surely, 251286770432 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 51286770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79129290240).

51286770432 is an abundant number, since it is smaller than the sum of its proper divisors (106971810048).

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

51286770432 is a wasteful number, since it uses less digits than its factorization.

51286770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322655 (or 322635 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51286770432 in words is "fifty-one billion, two hundred eighty-six million, seven hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 158976 322607 645214 967821 1290428 1935642 2580856 2903463 3871284 5161712 5806926 7419961 7742568 8710389 10323424 11613852 14839922 15485136 17420778 20646848 22259883 23227704 29679844 30970272 34841556 41293696 44519766 46455408 59359688 61940544 66779649 69683112 82587392 89039532 92910816 118719376 123881088 133559298 139366224 178079064 185821632 200338947 237438752 247762176 267118596 278732448 356158128 371643264 400677894 474877504 534237192 557464896 712316256 743286528 801355788 949755008 1068474384 1114929792 1424632512 1602711576 1899510016 2136948768 2229859584 2849265024 3205423152 4273897536 5698530048 6410846304 8547795072 12821692608 17095590144 25643385216 51286770432