Search a number
-
+
3917478064644 = 2236366532
BaseRepresentation
bin111001000000011011111…
…000110111001000000100
3111212111200210010001000000
4321000123320313020010
51003140443341032034
612155355314321300
7553012521063234
oct71003370671004
914774623101000
103917478064644
11128043626a1a1
12533297589230
132255553541a1
14d786d683cc4
156bd813cb599
hex3901be37204

3917478064644 has 63 divisors (see below), whose sum is σ = 10278958311013. Its totient is φ = 1305790394832.

The previous prime is 3917478064613. The next prime is 3917478064651. The reversal of 3917478064644 is 4464608747193.

The square root of 3917478064644 is 1979262.

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

3917478064644 is a `hidden beast` number, since 3 + 91 + 7 + 4 + 7 + 80 + 6 + 464 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1570184424900 + 2347293639744 = 1253070^2 + 1532088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 106861822 + ... + 106898474.

Almost surely, 23917478064644 is an apocalyptic number.

3917478064644 is the 1979262-nd square number.

It is an amenable number.

3917478064644 is an abundant number, since it is smaller than the sum of its proper divisors (6361480246369).

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

3917478064644 is an frugal number, since it uses more digits than its factorization.

3917478064644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73328 (or 36658 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 3917478064644 in words is "three trillion, nine hundred seventeen billion, four hundred seventy-eight million, sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 36653 73306 109959 146612 219918 329877 439836 659754 989631 1319508 1979262 2968893 3958524 5937786 8906679 11875572 17813358 26720037 35626716 53440074 106880148 1343442409 2686884818 4030327227 5373769636 8060654454 12090981681 16121308908 24181963362 36272945043 48363926724 72545890086 108818835129 145091780172 217637670258 326456505387 435275340516 652913010774 979369516161 1305826021548 1958739032322 3917478064644