Search a number
-
+
78156628608 = 273319117207
BaseRepresentation
bin100100011001001111…
…1111000001010000000
321110201212111002211110
41020302133320022000
52240031044103413
655523223443320
75434536244662
oct1106237701200
9243655432743
1078156628608
1130167419953
12131925b6540
1374a726a806
143ad6012532
1520767498c3
hex12327f8280

78156628608 has 128 divisors (see below), whose sum is σ = 214565437440. Its totient is φ = 25180646400.

The previous prime is 78156628579. The next prime is 78156628609. The reversal of 78156628608 is 80682665187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×781566286082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78156628609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10840941 + ... + 10848147.

It is an arithmetic number, because the mean of its divisors is an integer number (1676292480).

Almost surely, 278156628608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78156628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107282718720).

78156628608 is an abundant number, since it is smaller than the sum of its proper divisors (136408808832).

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

78156628608 is a wasteful number, since it uses less digits than its factorization.

78156628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 78156628608 in words is "seventy-eight billion, one hundred fifty-six million, six hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 911 992 1488 1822 1984 2733 2976 3644 3968 5466 5952 7207 7288 10932 11904 14414 14576 21621 21864 28241 28828 29152 43242 43728 56482 57656 58304 84723 86484 87456 112964 115312 116608 169446 172968 174912 223417 225928 230624 338892 345936 349824 446834 451856 461248 670251 677784 691872 893668 903712 922496 1340502 1355568 1383744 1787336 1807424 2681004 2711136 2767488 3574672 3614848 5362008 5422272 6565577 7149344 10724016 10844544 13131154 14298688 19696731 21448032 26262308 28597376 39393462 42896064 52524616 78786924 85792128 105049232 157573848 203532887 210098464 315147696 407065774 420196928 610598661 630295392 814131548 840393856 1221197322 1260590784 1628263096 2442394644 2521181568 3256526192 4884789288 6513052384 9769578576 13026104768 19539157152 26052209536 39078314304 78156628608