Search a number
-
+
54502595064 = 2334711319043
BaseRepresentation
bin110010110000100110…
…111001100111111000
312012200101020200220000
4302300212321213320
51343110131020224
641012123433000
73636424262031
oct626046714770
9165611220800
1054502595064
11211293263a5
12a690985760
1351a7844768
1428d0713a88
15163ece70c9
hexcb09b99f8

54502595064 has 160 divisors (see below), whose sum is σ = 156006829440. Its totient is φ = 17772955200.

The previous prime is 54502595039. The next prime is 54502595071. The reversal of 54502595064 is 46059520545.

54502595064 is a `hidden beast` number, since 5 + 4 + 50 + 2 + 595 + 0 + 6 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 6022527 + ... + 6031569.

It is an arithmetic number, because the mean of its divisors is an integer number (975042684).

Almost surely, 254502595064 is an apocalyptic number.

54502595064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54502595064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78003414720).

54502595064 is an abundant number, since it is smaller than the sum of its proper divisors (101504234376).

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

54502595064 is a wasteful number, since it uses less digits than its factorization.

54502595064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 54502595064 in words is "fifty-four billion, five hundred two million, five hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 131 142 162 213 216 262 284 324 393 426 524 568 639 648 786 852 1048 1179 1278 1572 1704 1917 2358 2556 3144 3537 3834 4716 5112 5751 7074 7668 9043 9301 9432 10611 11502 14148 15336 18086 18602 21222 23004 27129 27903 28296 36172 37204 42444 46008 54258 55806 72344 74408 81387 83709 84888 108516 111612 162774 167418 217032 223224 244161 251127 325548 334836 488322 502254 642053 651096 669672 732483 753381 976644 1004508 1184633 1284106 1464966 1506762 1926159 1953288 2009016 2369266 2568212 2929932 3013524 3553899 3852318 4738532 5136424 5778477 5859864 6027048 7107798 7704636 9477064 10661697 11556954 14215596 15409272 17335431 21323394 23113908 28431192 31985091 34670862 42646788 46227816 52006293 63970182 69341724 84108943 85293576 95955273 104012586 127940364 138683448 168217886 191910546 208025172 252326829 255880728 336435772 383821092 416050344 504653658 672871544 756980487 767642184 1009307316 1513960974 2018614632 2270941461 3027921948 4541882922 6055843896 6812824383 9083765844 13625648766 18167531688 27251297532 54502595064