Search a number
-
+
51057225743130 = 23258367811007959
BaseRepresentation
bin10111001101111101011111…
…10011011011101100011010
320200210000121211220122101200
423212332233303123230122
523143010144242240010
6300331210554055030
713516522436105325
oct1346765763335432
9220700554818350
1051057225743130
11152a527a966872
12588729571a476
1322648a2762c89
14c8727bca17bc
155d81b02c6cc0
hex2e6fafcdbb1a

51057225743130 has 96 divisors (see below), whose sum is σ = 134368115656320. Its totient is φ = 13449223912320.

The previous prime is 51057225743119. The next prime is 51057225743177. The reversal of 51057225743130 is 3134752275015.

51057225743130 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 72 + 2 + 574 + 3 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50150091 + ... + 51158049.

It is an arithmetic number, because the mean of its divisors is an integer number (1399667871420).

Almost surely, 251057225743130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51057225743130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184057828160).

51057225743130 is an abundant number, since it is smaller than the sum of its proper divisors (83310889913190).

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

51057225743130 is a wasteful number, since it uses less digits than its factorization.

51057225743130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014836 (or 1014833 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 51057225743130 in words is "fifty-one trillion, fifty-seven billion, two hundred twenty-five million, seven hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 6781 7470 13562 20343 33905 40686 61029 67810 101715 122058 203430 305145 562823 610290 1007959 1125646 1688469 2015918 2814115 3023877 3376938 5039795 5065407 5628230 6047754 8442345 9071631 10079590 10130814 15119385 16884690 18143262 25327035 30238770 45358155 50654070 83660597 90716310 167321194 250981791 418302985 501963582 752945373 836605970 1254908955 1505890746 2509817910 3764726865 6834969979 7529453730 13669939958 20504909937 34174849895 41009819874 61514729811 68349699790 102524549685 123029459622 205049099370 307573649055 567302508257 615147298110 1134605016514 1701907524771 2836512541285 3403815049542 5105722574313 5673025082570 8509537623855 10211445148626 17019075247710 25528612871565 51057225743130