Search a number
-
+
3764494541973 = 3113725166118583
BaseRepresentation
bin110110110001111101010…
…111000010010010010101
3111022212211002121212102210
4312301331113002102111
5443134141100320343
612001215050424033
7535655453434164
oct66617527022225
914285732555383
103764494541973
111221571035330
12509701732019
13213cb493c3c9
14d02b99793db
1567dca910333
hex36c7d5c2495

3764494541973 has 64 divisors (see below), whose sum is σ = 5654869161984. Its totient is φ = 2207541600000.

The previous prime is 3764494541963. The next prime is 3764494542007. The reversal of 3764494541973 is 3791454944673.

It is a happy number.

It is not a de Polignac number, because 3764494541973 - 24 = 3764494541957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764494541963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202568040 + ... + 202586622.

It is an arithmetic number, because the mean of its divisors is an integer number (88357330656).

Almost surely, 23764494541973 is an apocalyptic number.

3764494541973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3764494541973 is a deficient number, since it is larger than the sum of its proper divisors (1890374620011).

3764494541973 is a wasteful number, since it uses less digits than its factorization.

3764494541973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19546.

The product of its digits is 274337280, while the sum is 66.

The spelling of 3764494541973 in words is "three trillion, seven hundred sixty-four billion, four hundred ninety-four million, five hundred forty-one thousand, nine hundred seventy-three".

Divisors: 1 3 11 33 37 111 251 407 661 753 1221 1983 2761 7271 8283 9287 18583 21813 24457 27861 55749 73371 102157 165911 204413 269027 306471 497733 613239 687571 807081 1825021 2062713 4664333 5475063 6138707 7563281 12283363 13992999 18416121 22689843 36850089 51307663 67525777 135116993 153922989 172580321 202577331 405350979 454484431 517740963 1363453293 1898383531 3083124113 4999328741 5695150593 9249372339 14997986223 33914365243 101743095729 114075592181 342226776543 1254831513991 3764494541973