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65102543104 = 283724312
BaseRepresentation
bin111100101000011010…
…011111100100000000
320020001002220212000011
4330220122133210000
52031312222334404
645524021234304
74463205325444
oct745032374400
9206032825004
1065102543104
1125678763235
121074a862994
1361a690cc71
143218408824
151a606b2604
hexf2869f900

65102543104 has 81 divisors (see below), whose sum is σ = 133868484561. Its totient is φ = 31598023680.

The previous prime is 65102543081. The next prime is 65102543111. The reversal of 65102543104 is 40134520156.

It is a happy number.

The square root of 65102543104 is 255152.

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

It can be written as a sum of positive squares in only one way, i.e., 58254649600 + 6847893504 = 241360^2 + 82752^2 .

It is a super-2 number, since 2×651025431042 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151049769 + ... + 151050199.

Almost surely, 265102543104 is an apocalyptic number.

65102543104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65102543104 is the 255152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65102543104

65102543104 is an abundant number, since it is smaller than the sum of its proper divisors (68765941457).

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

65102543104 is an frugal number, since it uses more digits than its factorization.

65102543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Multiplying 65102543104 by its product of nonzero digits (14400), we get a square (937476620697600 = 306182402).

The spelling of 65102543104 in words is "sixty-five billion, one hundred two million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 431 592 862 1184 1369 1724 2368 2738 3448 4736 5476 6896 9472 10952 13792 15947 21904 27584 31894 43808 55168 63788 87616 110336 127576 175232 185761 255152 350464 371522 510304 590039 743044 1020608 1180078 1486088 2041216 2360156 2972176 4082432 4720312 5944352 6873157 9440624 11888704 13746314 18881248 23777408 27492628 37762496 47554816 54985256 75524992 109970512 151049984 219941024 254306809 439882048 508613618 879764096 1017227236 1759528192 2034454472 4068908944 8137817888 16275635776 32551271552 65102543104