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51077247340 = 22573116017351
BaseRepresentation
bin101111100100011100…
…001111000101101100
311212211122212000011111
4233210130033011230
51314101233403330
635244202401404
73455512303360
oct574434170554
9155748760144
1051077247340
111a730857a09
129a95800264
134a7ccb53a2
1426878292a0
1514de23432a
hexbe470f16c

51077247340 has 96 divisors (see below), whose sum is σ = 126636023808. Its totient is φ = 16934400000.

The previous prime is 51077247317. The next prime is 51077247341. The reversal of 51077247340 is 4374277015.

It is a junction number, because it is equal to n+sod(n) for n = 51077247293 and 51077247302.

It is not an unprimeable number, because it can be changed into a prime (51077247341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6944665 + ... + 6952015.

It is an arithmetic number, because the mean of its divisors is an integer number (1319125248).

Almost surely, 251077247340 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 51077247340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63318011904).

51077247340 is an abundant number, since it is smaller than the sum of its proper divisors (75558776468).

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

51077247340 is a wasteful number, since it uses less digits than its factorization.

51077247340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 51077247340 in words is "fifty-one billion, seventy-seven million, two hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1601 2170 3202 4340 6404 7351 8005 11207 14702 16010 22414 29404 32020 36755 44828 49631 51457 56035 73510 99262 102914 112070 147020 198524 205828 224140 227881 248155 257285 347417 455762 496310 514570 694834 911524 992620 1029140 1139405 1389668 1595167 1737085 2278810 3190334 3474170 4557620 6380668 6948340 7975835 11768951 15951670 23537902 31903340 47075804 58844755 82382657 117689510 164765314 235379020 329530628 364837481 411913285 729674962 823826570 1459349924 1647653140 1824187405 2553862367 3648374810 5107724734 7296749620 10215449468 12769311835 25538623670 51077247340