Search a number
-
+
61026250878 = 23331241331457
BaseRepresentation
bin111000110101011100…
…101011000001111110
312211112000122202022000
4320311130223001332
51444440210012003
644011324203130
74260200400525
oct706534530176
9184460582260
1061026250878
112397680058a
12b9b16994a6
1359a7258a28
142d4ccb54bc
1518c28bc1a3
hexe3572b07e

61026250878 has 128 divisors (see below), whose sum is σ = 141302599680. Its totient is φ = 19502208000.

The previous prime is 61026250861. The next prime is 61026250903. The reversal of 61026250878 is 87805262016.

61026250878 is a `hidden beast` number, since 6 + 10 + 2 + 62 + 508 + 78 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

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, 133536426 + ... + 133536882.

It is an arithmetic number, because the mean of its divisors is an integer number (1103926560).

Almost surely, 261026250878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61026250878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70651299840).

61026250878 is an abundant number, since it is smaller than the sum of its proper divisors (80276348802).

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

61026250878 is a wasteful number, since it uses less digits than its factorization.

61026250878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 61026250878 in words is "sixty-one billion, twenty-six million, two hundred fifty thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 241 279 331 457 482 558 662 723 837 914 993 1371 1446 1674 1986 2169 2742 2979 4113 4338 5958 6507 7471 8226 8937 10261 12339 13014 14167 14942 17874 20522 22413 24678 28334 30783 42501 44826 61566 67239 79771 85002 92349 110137 127503 134478 151267 159542 184698 201717 220274 239313 255006 277047 302534 330411 382509 403434 453801 478626 554094 660822 717939 765018 907602 991233 1361403 1435878 1982466 2153817 2472901 2722806 2973699 3414247 4084209 4307634 4689277 4945802 5947398 6828494 7418703 8168418 9378554 10242741 14067831 14837406 20485482 22256109 28135662 30728223 36455347 42203493 44512218 61456446 66768327 72910694 84406986 92184669 109366041 126610479 133536654 184369338 218732082 253220958 328098123 656196246 984294369 1130115757 1968588738 2260231514 3390347271 6780694542 10171041813 20342083626 30513125439 61026250878