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7642920816 = 243256939323
BaseRepresentation
bin1110001111000110…
…11011011101110000
3201201122111121100100
413013203123131300
5111123041431231
63302222152400
7360253516656
oct70743333560
921648447310
107642920816
113272258593
121593722700
1394a57b96b
145270b6dd6
152eaeb41e6
hex1c78db770

7642920816 has 60 divisors (see below), whose sum is σ = 21395614968. Its totient is φ = 2546919552.

The previous prime is 7642920793. The next prime is 7642920821. The reversal of 7642920816 is 6180292467.

It is a happy number.

7642920816 is a `hidden beast` number, since 7 + 6 + 429 + 208 + 16 = 666.

It is a super-2 number, since 2×76429208162 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815131 + ... + 824453.

Almost surely, 27642920816 is an apocalyptic number.

It is an amenable number.

7642920816 is an abundant number, since it is smaller than the sum of its proper divisors (13752694152).

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

7642920816 is a wasteful number, since it uses less digits than its factorization.

7642920816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7642920816 is about 87423.8000546762. The cubic root of 7642920816 is about 1969.7893576045.

The spelling of 7642920816 in words is "seven billion, six hundred forty-two million, nine hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5693 9323 11386 17079 18646 22772 27969 34158 37292 45544 51237 55938 68316 74584 83907 91088 102474 111876 136632 149168 167814 204948 223752 273264 335628 409896 447504 671256 819792 1342512 53075839 106151678 159227517 212303356 318455034 424606712 477682551 636910068 849213424 955365102 1273820136 1910730204 2547640272 3821460408 7642920816