Search a number
-
+
137720181663 = 337369873253
BaseRepresentation
bin1000000001000011000…
…0110011001110011111
3111011110221211002221000
42000100300303032133
54224022331303123
6143133501241343
712643556141421
oct2002060631637
9434427732830
10137720181663
11534524a7959
1222836263253
13ccaa464b6c
146946934811
1538b09d9b43
hex2010c3339f

137720181663 has 16 divisors (see below), whose sum is σ = 206824831840. Its totient is φ = 90555734592.

The previous prime is 137720181659. The next prime is 137720181667. The reversal of 137720181663 is 366181027731.

137720181663 is a `hidden beast` number, since 1 + 377 + 201 + 8 + 16 + 63 = 666.

It is an interprime number because it is at equal distance from previous prime (137720181659) and next prime (137720181667).

It is not a de Polignac number, because 137720181663 - 22 = 137720181659 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137720181667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34934656 + ... + 34938597.

It is an arithmetic number, because the mean of its divisors is an integer number (12926551990).

Almost surely, 2137720181663 is an apocalyptic number.

137720181663 is a deficient number, since it is larger than the sum of its proper divisors (69104650177).

137720181663 is an equidigital number, since it uses as much as digits as its factorization.

137720181663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69873335 (or 69873329 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 137720181663 in words is "one hundred thirty-seven billion, seven hundred twenty million, one hundred eighty-one thousand, six hundred sixty-three".

Divisors: 1 3 9 27 73 219 657 1971 69873253 209619759 628859277 1886577831 5100747469 15302242407 45906727221 137720181663