Search a number
-
+
46062120200464 = 24641226472
BaseRepresentation
bin10100111100100101011000…
…10011111110100100010000
320001002111101100120201020001
422132102230103332210100
522014140210232403324
6241544351302455344
712462610164412114
oct1236225423764420
9201074340521201
1046062120200464
111374992101a575
1251bb192a34554
131c918406c6014
14b535c0585744
1554d2ac60ee44
hex29e4ac4fe910

46062120200464 has 45 divisors (see below), whose sum is σ = 89418584520741. Its totient is φ = 22986442967040.

The previous prime is 46062120200449. The next prime is 46062120200471. The reversal of 46062120200464 is 46400202126064.

The square root of 46062120200464 is 6786908.

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., 41577890440464 + 4484229760000 = 6448092^2 + 2117600^2 .

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, 17401630789 + ... + 17401633435.

Almost surely, 246062120200464 is an apocalyptic number.

46062120200464 is the 6786908-th square number.

It is an amenable number.

46062120200464 is a deficient number, since it is larger than the sum of its proper divisors (43356464320277).

46062120200464 is an frugal number, since it uses more digits than its factorization.

46062120200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 46062120200464 in words is "forty-six trillion, sixty-two billion, one hundred twenty million, two hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 641 1282 2564 2647 5128 5294 10256 10588 21176 42352 410881 821762 1643524 1696727 3287048 3393454 6574096 6786908 7006609 13573816 14013218 27147632 28026436 56052872 112105744 1087602007 2175204014 4350408028 4491236369 8700816056 8982472738 17401632112 17964945476 35929890952 71859781904 2878882512529 5757765025058 11515530050116 23031060100232 46062120200464