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61356251034 = 233131011635309
BaseRepresentation
bin111001001001000111…
…100001011110011010
312212101000121111102000
4321021013201132122
52001124200013114
644104153221430
74301315346231
oct711107413632
9185330544360
1061356251034
1124026005591
12ba84101876
135a2a72b8b0
142d80a57b18
1518e1854e09
hexe491e179a

61356251034 has 128 divisors (see below), whose sum is σ = 149227142400. Its totient is φ = 18573753600.

The previous prime is 61356251009. The next prime is 61356251051. The reversal of 61356251034 is 43015265316.

61356251034 is a `hidden beast` number, since 6 + 13 + 5 + 625 + 10 + 3 + 4 = 666.

61356251034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61356251034.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11554372 + ... + 11559680.

It is an arithmetic number, because the mean of its divisors is an integer number (1165837050).

Almost surely, 261356251034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61356251034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74613571200).

61356251034 is an abundant number, since it is smaller than the sum of its proper divisors (87870891366).

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

61356251034 is a wasteful number, since it uses less digits than its factorization.

61356251034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 61356251034 in words is "sixty-one billion, three hundred fifty-six million, two hundred fifty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 163 202 234 303 326 351 489 606 702 909 978 1313 1467 1818 2119 2626 2727 2934 3939 4238 4401 5309 5454 6357 7878 8802 10618 11817 12714 15927 16463 19071 23634 31854 32926 35451 38142 47781 49389 57213 69017 70902 95562 98778 114426 138034 143343 148167 207051 214019 286686 296334 414102 428038 444501 536209 621153 642057 865367 889002 1072418 1242306 1284114 1608627 1730734 1863459 1926171 2596101 3217254 3726918 3852342 4825881 5192202 5778513 6970717 7788303 9651762 11249771 11557026 13941434 14477643 15576606 20912151 22499542 23364909 28955286 33749313 41824302 46729818 62736453 67498626 87402067 101247939 125472906 174804134 188209359 202495878 262206201 303743817 376418718 524412402 607487634 786618603 1136226871 1573237206 2272453742 2359855809 3408680613 4719711618 6817361226 10226041839 20452083678 30678125517 61356251034