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61907411344 = 2417236592
BaseRepresentation
bin111001101001111110…
…000010000110010000
312220210102201100012211
4321221332002012100
52003241244130334
644235002401504
74321060212502
oct715176020620
9186712640184
1061907411344
1124289135479
12bbb8800294
135ab798725c
142dd3d29d72
151924e26a64
hexe69f82190

61907411344 has 45 divisors (see below), whose sum is σ = 127451102497. Its totient is φ = 29124937472.

The previous prime is 61907411231. The next prime is 61907411347. The reversal of 61907411344 is 44311470916.

It is a happy number.

The square root of 61907411344 is 248812.

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., 48197811600 + 13709599744 = 219540^2 + 117088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61907411297 and 61907411306.

It is not an unprimeable number, because it can be changed into a prime (61907411347) 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, 16917387 + ... + 16921045.

Almost surely, 261907411344 is an apocalyptic number.

61907411344 is the 248812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61907411344

61907411344 is an abundant number, since it is smaller than the sum of its proper divisors (65543691153).

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

61907411344 is an frugal number, since it uses more digits than its factorization.

61907411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 61907411344 in words is "sixty-one billion, nine hundred seven million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3659 4624 7318 14636 29272 58544 62203 124406 248812 497624 995248 1057451 2114902 4229804 8459608 13388281 16919216 26776562 53553124 107106248 214212496 227600777 455201554 910403108 1820806216 3641612432 3869213209 7738426418 15476852836 30953705672 61907411344