Search a number
-
+
64569107430 = 23251759371167
BaseRepresentation
bin111100001000100111…
…100110001111100110
320011122221011111211100
4330020213212033212
52024214142414210
645355044020530
74444040233422
oct741047461746
9204587144740
1064569107430
112542463a103
1210620091746
13612024c159
1431a762bb82
151a2d9425c0
hexf089e63e6

64569107430 has 96 divisors (see below), whose sum is σ = 178057211904. Its totient is φ = 16178024448.

The previous prime is 64569107411. The next prime is 64569107443. The reversal of 64569107430 is 3470196546.

64569107430 is a `hidden beast` number, since 6 + 4 + 569 + 10 + 74 + 3 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 871707 + ... + 942873.

It is an arithmetic number, because the mean of its divisors is an integer number (1854762624).

Almost surely, 264569107430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64569107430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89028605952).

64569107430 is an abundant number, since it is smaller than the sum of its proper divisors (113488104474).

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

64569107430 is a wasteful number, since it uses less digits than its factorization.

64569107430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71790 (or 71787 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 64569107430 in words is "sixty-four billion, five hundred sixty-nine million, one hundred seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 593 765 1186 1530 1779 2965 3558 5337 5930 8895 10081 10674 17790 20162 26685 30243 50405 53370 60486 71167 90729 100810 142334 151215 181458 213501 302430 355835 427002 453645 640503 711670 907290 1067505 1209839 1281006 2135010 2419678 3202515 3629517 6049195 6405030 7259034 10888551 12098390 18147585 21777102 36295170 42202031 54442755 84404062 108885510 126606093 211010155 253212186 379818279 422020310 633030465 717434527 759636558 1266060930 1434869054 1899091395 2152303581 3587172635 3798182790 4304607162 6456910743 7174345270 10761517905 12913821486 21523035810 32284553715 64569107430