Search a number
-
+
78152310633060 = 223257013083200899
BaseRepresentation
bin10001110001010001000000…
…101101101011001001100100
3101020201021202220100000012200
4101301101000231223021210
540220421413010224220
6434114401553014500
722314214053462126
oct2161210055531144
9336637686300180
1078152310633060
11229a1232a20304
128922536854430
13347b9677a61c1
1415428406d1216
15907dc330c890
hex471440b6b264

78152310633060 has 144 divisors (see below), whose sum is σ = 237478370875200. Its totient is φ = 20804032569600.

The previous prime is 78152310633037. The next prime is 78152310633077. The reversal of 78152310633060 is 6033601325187.

78152310633060 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 2 + 3 + 1 + 0 + 633 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×781523106330602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 78152310632997 and 78152310633015.

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 47 ways as a sum of consecutive naturals, for example, 388912491 + ... + 389113389.

It is an arithmetic number, because the mean of its divisors is an integer number (1649155353300).

Almost surely, 278152310633060 is an apocalyptic number.

It is an amenable number.

78152310633060 is an abundant number, since it is smaller than the sum of its proper divisors (159326060242140).

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

78152310633060 is a wasteful number, since it uses less digits than its factorization.

78152310633060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204698 (or 204693 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 78152310633060 in words is "seventy-eight trillion, one hundred fifty-two billion, three hundred ten million, six hundred thirty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 701 1402 2103 2804 3083 3505 4206 6166 6309 7010 8412 9249 10515 12332 12618 14020 15415 18498 21030 25236 27747 30830 31545 36996 42060 46245 55494 61660 63090 92490 110988 126180 138735 184980 200899 277470 401798 554940 602697 803596 1004495 1205394 1808091 2008990 2161183 2410788 3013485 3616182 4017980 4322366 6026970 6483549 7232364 8644732 9040455 10805915 12053940 12967098 18080910 19450647 21611830 25934196 32417745 36161820 38901294 43223660 64835490 77802588 97253235 129670980 140830199 194506470 281660398 389012940 422490597 563320796 619371617 704150995 844981194 1238743234 1267471791 1408301990 1689962388 1858114851 2112452985 2477486468 2534943582 2816603980 3096858085 3716229702 4224905970 5069887164 5574344553 6193716170 6337358955 7432459404 8449811940 9290574255 11148689106 12387432340 12674717910 18581148510 22297378212 25349435820 27871722765 37162297020 55743445530 111486891060 434179503517 868359007034 1302538510551 1736718014068 2170897517585 2605077021102 3907615531653 4341795035170 5210154042204 6512692552755 7815231063306 8683590070340 13025385105510 15630462126612 19538077658265 26050770211020 39076155316530 78152310633060