Search a number
-
+
661332016142145 = 33531158024376617
BaseRepresentation
bin1001011001011110100101101…
…1111001101001011101000001
310012201120201112021122200101000
42112113221123321221131001
51143140230432113022040
610302311422315402213
7256204442603631465
oct22627513371513501
93181521467580330
10661332016142145
111817a2373249747
126220a6aa153369
132250245945414a
14b9448d72564a5
15516cb6b7c0130
hex2597a5be69741

661332016142145 has 32 divisors (see below), whose sum is σ = 1213627212426240. Its totient is φ = 341332653490560.

The previous prime is 661332016142131. The next prime is 661332016142179. The reversal of 661332016142145 is 541241610233166.

661332016142145 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 3 + 2 + 0 + 1 + 614 + 21 + 4 + 5 = 666.

It is not a de Polignac number, because 661332016142145 - 25 = 661332016142113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 661332016142145.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79012184124 + ... + 79012192493.

It is an arithmetic number, because the mean of its divisors is an integer number (37925850388320).

Almost surely, 2661332016142145 is an apocalyptic number.

It is an amenable number.

661332016142145 is a deficient number, since it is larger than the sum of its proper divisors (552295196284095).

661332016142145 is a wasteful number, since it uses less digits than its factorization.

661332016142145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158024376662 (or 158024376656 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 661332016142145 in words is "six hundred sixty-one trillion, three hundred thirty-two billion, sixteen million, one hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 158024376617 474073129851 790121883085 1422219389553 2370365649255 4266658168659 4898755675127 7111096947765 14696267025381 21333290843295 24493778375635 44088801076143 73481335126905 132266403228429 220444005380715 661332016142145