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51703494144 = 2931731791087
BaseRepresentation
bin110000001001110001…
…001011011000000000
311221110022020122021120
4300021301023120000
51321342043303034
635430253152240
73510155306661
oct601161133000
9157408218246
1051703494144
111aa22302455
12a02b48b680
134b4c970823
142706a85368
1515291d8c49
hexc09c4b600

51703494144 has 160 divisors (see below), whose sum is σ = 139439646720. Its totient is φ = 17023475712.

The previous prime is 51703494137. The next prime is 51703494149. The reversal of 51703494144 is 44149430715.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51703494096 and 51703494105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51703494149) 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, 47564769 + ... + 47565855.

It is an arithmetic number, because the mean of its divisors is an integer number (871497792).

Almost surely, 251703494144 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 51703494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69719823360).

51703494144 is an abundant number, since it is smaller than the sum of its proper divisors (87736152576).

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

51703494144 is a wasteful number, since it uses less digits than its factorization.

51703494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 51703494144 in words is "fifty-one billion, seven hundred three million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 179 192 256 346 358 384 512 519 537 692 716 768 1038 1074 1087 1384 1432 1536 2076 2148 2174 2768 2864 3261 4152 4296 4348 5536 5728 6522 8304 8592 8696 11072 11456 13044 16608 17184 17392 22144 22912 26088 30967 33216 34368 34784 44288 45824 52176 61934 66432 68736 69568 88576 91648 92901 104352 123868 132864 137472 139136 185802 188051 194573 208704 247736 265728 274944 278272 371604 376102 389146 417408 495472 556544 564153 583719 743208 752204 778292 834816 990944 1128306 1167438 1486416 1504408 1556584 1669632 1981888 2256612 2334876 2972832 3008816 3113168 3963776 4513224 4669752 5945664 6017632 6226336 7927552 9026448 9339504 11891328 12035264 12452672 15855104 18052896 18679008 23782656 24070528 24905344 33661129 36105792 37358016 47565312 48141056 49810688 67322258 72211584 74716032 96282112 99621376 100983387 134644516 144423168 149432064 201966774 269289032 288846336 298864128 403933548 538578064 807867096 1077156128 1615734192 2154312256 3231468384 4308624512 6462936768 8617249024 12925873536 17234498048 25851747072 51703494144