Search a number
-
+
81403737849604 = 2247253218112
BaseRepresentation
bin10010100000100101001000…
…111000001011111100000100
3101200020010021110021020211001
4102200211020320023330010
541132204323342141404
6445044205542223044
723101140340015162
oct2240451070137404
9350203243236731
1081403737849604
1123a35149909135
12916870b124a84
133656454c82801
141615d67794232
15962770cd97a4
hex4a0948e0bf04

81403737849604 has 81 divisors (see below), whose sum is σ = 148432062839221. Its totient is φ = 39062669907040.

The previous prime is 81403737849601. The next prime is 81403737849641. The reversal of 81403737849604 is 40694873730418.

The square root of 81403737849604 is 9022402.

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., 58683719880900 + 22720017968704 = 7660530^2 + 4766552^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81403737849601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44949605859 + ... + 44949607669.

Almost surely, 281403737849604 is an apocalyptic number.

81403737849604 is the 9022402-nd square number.

It is an amenable number.

81403737849604 is a deficient number, since it is larger than the sum of its proper divisors (67028324989617).

81403737849604 is an frugal number, since it uses more digits than its factorization.

81403737849604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 81403737849604 in words is "eighty-one trillion, four hundred three billion, seven hundred thirty-seven million, eight hundred forty-nine thousand, six hundred four".

Divisors: 1 2 4 47 53 94 106 188 212 1811 2209 2491 2809 3622 4418 4982 5618 7244 8836 9964 11236 85117 95983 117077 132023 170234 191966 234154 264046 340468 383932 468308 528092 3279721 4000499 4511201 5087099 6205081 6559442 8000998 9022402 10174198 12410162 13118884 16001996 18044804 20348396 24820324 154146887 173825213 212026447 239093653 308293774 347650426 424052894 478187306 616587548 695300852 848105788 956374612 7244903689 8169785011 9212736289 11237401691 14489807378 16339570022 18425472578 22474803382 28979614756 32679140044 36850945156 44949606764 383979895517 432998605583 767959791034 865997211166 1535919582068 1731994422332 20350934462401 40701868924802 81403737849604