Search a number
-
+
746132732676 = 223220725909241
BaseRepresentation
bin10101101101110001111…
…10011111101100000100
32122022220021101000220200
422312320332133230010
544211034434421201
61330434005530500
7104622602404302
oct12667076375404
92568807330820
10746132732676
11268484526551
12100732413a30
135548ac4c7b6
1428182193272
151461e195386
hexadb8f9fb04

746132732676 has 18 divisors (see below), whose sum is σ = 1886057741022. Its totient is φ = 248710910880.

The previous prime is 746132732633. The next prime is 746132732693. The reversal of 746132732676 is 676237231647.

It can be written as a sum of positive squares in only one way, i.e., 516285360900 + 229847371776 = 718530^2 + 479424^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 10362954585 + ... + 10362954656.

Almost surely, 2746132732676 is an apocalyptic number.

It is an amenable number.

746132732676 is an abundant number, since it is smaller than the sum of its proper divisors (1139925008346).

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

746132732676 is a wasteful number, since it uses less digits than its factorization.

746132732676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20725909251 (or 20725909246 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 746132732676 in words is "seven hundred forty-six billion, one hundred thirty-two million, seven hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 20725909241 41451818482 62177727723 82903636964 124355455446 186533183169 248710910892 373066366338 746132732676