Search a number
-
+
7916320080 = 243353664963
BaseRepresentation
bin1110101111101100…
…10111010101010000
3202102200221201122000
413113312113111100
5112203034220310
63345310114000
7400113416244
oct72766272520
922380851560
107916320080
1133a2613499
12164b1ab900
139920c4a86
14551524424
15314ebb4c0
hex1d7d97550

7916320080 has 80 divisors (see below), whose sum is σ = 27267332160. Its totient is φ = 2111018112.

The previous prime is 7916320073. The next prime is 7916320109. The reversal of 7916320080 is 800236197.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×79163200802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 1830322 + ... + 1834641.

It is an arithmetic number, because the mean of its divisors is an integer number (340841652).

Almost surely, 27916320080 is an apocalyptic number.

It is an amenable number.

7916320080 is an abundant number, since it is smaller than the sum of its proper divisors (19351012080).

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

7916320080 is a wasteful number, since it uses less digits than its factorization.

7916320080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664985 (or 3664973 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7916320080 is about 88973.7044300168. The cubic root of 7916320080 is about 1993.0022174089.

The spelling of 7916320080 in words is "seven billion, nine hundred sixteen million, three hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3664963 7329926 10994889 14659852 18324815 21989778 29319704 32984667 36649630 43979556 54974445 58639408 65969334 73299260 87959112 98954001 109948890 131938668 146598520 164923335 175918224 197908002 219897780 263877336 293197040 329846670 395816004 439795560 494770005 527754672 659693340 791632008 879591120 989540010 1319386680 1583264016 1979080020 2638773360 3958160040 7916320080