Search a number
-
+
3531420430164 = 2232118917728359
BaseRepresentation
bin110011011000111001000…
…011110110111101010100
3110111121012202120012221100
4303120321003312331110
5430324322112231124
611302151231350100
7513064614245214
oct63307103667524
913447182505840
103531420430164
111141737850430
124904b5682330
131c801c3c5693
14c2cc9074244
1561cd8a2e1c9
hex336390f6f54

3531420430164 has 36 divisors (see below), whose sum is σ = 9738159369120. Its totient is φ = 1070127402960.

The previous prime is 3531420430127. The next prime is 3531420430177. The reversal of 3531420430164 is 4610340241353.

3531420430164 is a `hidden beast` number, since 3 + 5 + 31 + 420 + 43 + 0 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4458863784 + ... + 4458864575.

It is an arithmetic number, because the mean of its divisors is an integer number (270504426920).

Almost surely, 23531420430164 is an apocalyptic number.

It is an amenable number.

3531420430164 is an abundant number, since it is smaller than the sum of its proper divisors (6206738938956).

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

3531420430164 is a wasteful number, since it uses less digits than its factorization.

3531420430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917728380 (or 8917728375 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3531420430164 in words is "three trillion, five hundred thirty-one billion, four hundred twenty million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 8917728359 17835456718 26753185077 35670913436 53506370154 80259555231 98095011949 107012740308 160519110462 196190023898 294285035847 321038220924 392380047796 588570071694 882855107541 1177140143388 1765710215082 3531420430164