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51537044736 = 283225787037
BaseRepresentation
bin101111111111110110…
…001110010100000000
311221000201001010121200
4233333312032110000
51321021440412421
635401545421200
73503064436512
oct577766162400
9157021033550
1051537044736
111a947355561
129ba379a800
134b24332658
1426cc917bb2
1515197aa726
hexbffd8e500

51537044736 has 108 divisors (see below), whose sum is σ = 149173905972. Its totient is φ = 17111973888.

The previous prime is 51537044711. The next prime is 51537044753. The reversal of 51537044736 is 63744073515.

51537044736 is a `hidden beast` number, since 5 + 1 + 537 + 0 + 44 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27870299136 + 23666745600 = 166944^2 + 153840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51537044691 and 51537044700.

It is a congruent number.

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, 548610 + ... + 635646.

Almost surely, 251537044736 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 51537044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74586952986).

51537044736 is an abundant number, since it is smaller than the sum of its proper divisors (97636861236).

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

51537044736 is a wasteful number, since it uses less digits than its factorization.

51537044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87316 (or 87299 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 51537044736 in words is "fifty-one billion, five hundred thirty-seven million, forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 514 576 768 771 1028 1152 1542 2056 2304 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 32896 37008 49344 65792 74016 87037 98688 148032 174074 197376 261111 296064 348148 522222 592128 696296 783333 1044444 1392592 1566666 2088888 2785184 3133332 4177776 5570368 6266664 8355552 11140736 12533328 16711104 22281472 22368509 25066656 33422208 44737018 50133312 66844416 67105527 89474036 100266624 134211054 178948072 200533248 201316581 268422108 357896144 402633162 536844216 715792288 805266324 1073688432 1431584576 1610532648 2147376864 2863169152 3221065296 4294753728 5726338304 6442130592 8589507456 12884261184 17179014912 25768522368 51537044736