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742678920756 = 223220629970021
BaseRepresentation
bin10101100111010110001…
…11001111111000110100
32121222222120102012122200
422303223013033320310
544132001300431011
61325103150424500
7104441163444633
oct12635307177064
92558876365580
10742678920756
11266a71986533
12bbb29802130
135505a5354c6
1427d355b951a
15144bad5d856
hexaceb1cfe34

742678920756 has 18 divisors (see below), whose sum is σ = 1877327272002. Its totient is φ = 247559640240.

The previous prime is 742678920749. The next prime is 742678920773. The reversal of 742678920756 is 657029876247.

742678920756 is a `hidden beast` number, since 7 + 426 + 78 + 92 + 0 + 7 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 703686099600 + 38992821156 = 838860^2 + 197466^2 .

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

It is a super-2 number, since 2×7426789207562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 742678920693 and 742678920702.

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 5 ways as a sum of consecutive naturals, for example, 10314984975 + ... + 10314985046.

Almost surely, 2742678920756 is an apocalyptic number.

It is an amenable number.

742678920756 is an abundant number, since it is smaller than the sum of its proper divisors (1134648351246).

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

742678920756 is a wasteful number, since it uses less digits than its factorization.

742678920756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20629970031 (or 20629970026 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 742678920756 in words is "seven hundred forty-two billion, six hundred seventy-eight million, nine hundred twenty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 20629970021 41259940042 61889910063 82519880084 123779820126 185669730189 247559640252 371339460378 742678920756