Search a number
-
+
5150140049664 = 2832472792
BaseRepresentation
bin100101011110001110001…
…0001001010100100000000
3200020100102010002220022100
41022330130101022210000
51133334441323042124
614541535222510400
71041041162061351
oct112743421124400
920210363086270
105150140049664
111706186881035
126b216b595400
132b486b66a53c
1413b3a7991d28
158de787671c9
hex4af1c44a900

5150140049664 has 81 divisors (see below), whose sum is σ = 14849437496803. Its totient is φ = 1716677039616.

The previous prime is 5150140049657. The next prime is 5150140049669. The reversal of 5150140049664 is 4669400410515.

The square root of 5150140049664 is 2269392.

It is a perfect power (a square), and thus also a powerful number.

5150140049664 is a `hidden beast` number, since 5 + 1 + 501 + 40 + 0 + 49 + 6 + 64 = 666.

It is a super-3 number, since 3×51501400496643 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5150140049669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108907177 + ... + 108954455.

Almost surely, 25150140049664 is an apocalyptic number.

5150140049664 is the 2269392-nd square number.

It is an amenable number.

5150140049664 is an abundant number, since it is smaller than the sum of its proper divisors (9699297447139).

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

5150140049664 is an frugal number, since it uses more digits than its factorization.

5150140049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94580 (or 47284 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5150140049664 in words is "five trillion, one hundred fifty billion, one hundred forty million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 47279 94558 141837 189116 283674 378232 425511 567348 756464 851022 1134696 1512928 1702044 2269392 3025856 3404088 4538784 6051712 6808176 9077568 12103424 13616352 18155136 27232704 36310272 54465408 108930816 2235303841 4470607682 6705911523 8941215364 13411823046 17882430728 20117734569 26823646092 35764861456 40235469138 53647292184 71529722912 80470938276 107294584368 143059445824 160941876552 214589168736 286118891648 321883753104 429178337472 572237783296 643767506208 858356674944 1287535012416 1716713349888 2575070024832 5150140049664