Search a number
-
+
78338012278374 = 2344911014197117
BaseRepresentation
bin10001110011111101111101…
…011001001110111001100110
3101021101001002202202000110000
4101303331331121032321212
540231442222120401444
6434335552551442130
722333506654432642
oct2163757531167146
9337331082660400
1078338012278374
1122a62a67732a52
128952521986346
133493320743574
14154b819833c22
1590cb41367469
hex473f7d64ee66

78338012278374 has 80 divisors (see below), whose sum is σ = 175911837138576. Its totient is φ = 26056650110400.

The previous prime is 78338012278369. The next prime is 78338012278399. The reversal of 78338012278374 is 47387221083387.

It is a happy number.

78338012278374 is a `hidden beast` number, since 7 + 8 + 3 + 38 + 0 + 1 + 227 + 8 + 374 = 666.

It is a super-2 number, since 2×783380122783742 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806586864 + ... + 806683980.

Almost surely, 278338012278374 is an apocalyptic number.

78338012278374 is an abundant number, since it is smaller than the sum of its proper divisors (97573824860202).

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

78338012278374 is a wasteful number, since it uses less digits than its factorization.

78338012278374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107763 (or 107754 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 78338012278374 in words is "seventy-eight trillion, three hundred thirty-eight billion, twelve million, two hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 491 982 1473 2946 4419 8838 10141 13257 20282 26514 30423 39771 60846 79542 91269 97117 182538 194234 273807 291351 547614 582702 821421 874053 1642842 1748106 2622159 4979231 5244318 7866477 9958462 14937693 15732954 29875386 44813079 47684447 89626158 95368894 134439237 143053341 268878474 286106682 403317711 429160023 806635422 858320046 984863497 1287480069 1969726994 2574960138 2954590491 3862440207 5909180982 7724880414 8863771473 17727542946 26591314419 53182628838 79773943257 159547886514 483567977027 967135954054 1450703931081 2901407862162 4352111793243 8704223586486 13056335379729 26112670759458 39169006139187 78338012278374