Search a number
-
+
4431463677972 = 2232123096213277
BaseRepresentation
bin100000001111100011111…
…0100011000000000010100
3120200122101022201112000100
41000133013310120000110
51040101114200143342
613231441502014100
7635106541521522
oct100370764300024
916618338645010
104431463677972
111459411799a11
125b6a20277330
13261b67b146b6
141146ac0b7312
157a414c4ee4c
hex407c7d18014

4431463677972 has 18 divisors (see below), whose sum is σ = 11201755408298. Its totient is φ = 1477154559312.

The previous prime is 4431463677967. The next prime is 4431463677973. The reversal of 4431463677972 is 2797763641344.

4431463677972 is a `hidden beast` number, since 4 + 4 + 31 + 463 + 6 + 7 + 79 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4423769932176 + 7693745796 = 2103276^2 + 87714^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431463677973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61548106603 + ... + 61548106674.

Almost surely, 24431463677972 is an apocalyptic number.

It is an amenable number.

4431463677972 is an abundant number, since it is smaller than the sum of its proper divisors (6770291730326).

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

4431463677972 is a wasteful number, since it uses less digits than its factorization.

4431463677972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123096213287 (or 123096213282 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 4431463677972 in words is "four trillion, four hundred thirty-one billion, four hundred sixty-three million, six hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 123096213277 246192426554 369288639831 492384853108 738577279662 1107865919493 1477154559324 2215731838986 4431463677972