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516342451152 = 243111093894713
BaseRepresentation
bin1111000001110000110…
…10001000101111010000
31211100202210102020201010
413200320122020233100
531424432131414102
61033112054410520
752206306263463
oct7407032105720
91740683366633
10516342451152
11189a85941980
12840a2060a40
13398c9b46208
141adc38592da
15d670720d6c
hex7838688bd0

516342451152 has 80 divisors (see below), whose sum is σ = 1456479868608. Its totient is φ = 156324080640.

The previous prime is 516342451129. The next prime is 516342451189. The reversal of 516342451152 is 251154243615.

It is a super-2 number, since 2×5163424511522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516342451152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129748 + ... + 1024460.

Almost surely, 2516342451152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516342451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728239934304).

516342451152 is an abundant number, since it is smaller than the sum of its proper divisors (940137417456).

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

516342451152 is a wasteful number, since it uses less digits than its factorization.

516342451152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895828 (or 895822 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

Adding to 516342451152 its reverse (251154243615), we get a palindrome (767496694767).

The spelling of 516342451152 in words is "five hundred sixteen billion, three hundred forty-two million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1093 2186 3279 4372 6558 8744 12023 13116 17488 24046 26232 36069 48092 52464 72138 96184 144276 192368 288552 577104 894713 1789426 2684139 3578852 5368278 7157704 9841843 10736556 14315408 19683686 21473112 29525529 39367372 42946224 59051058 78734744 118102116 157469488 236204232 472408464 977921309 1955842618 2933763927 3911685236 5867527854 7823370472 10757134399 11735055708 15646740944 21514268798 23470111416 32271403197 43028537596 46940222832 64542806394 86057075192 129085612788 172114150384 258171225576 516342451152