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78420362124 = 223132114215659
BaseRepresentation
bin100100100001000110…
…1111100001110001100
321111102020202011012110
41021002031330032030
52241101103041444
6100005324304020
75444221036236
oct1110215741614
9244366664173
1078420362124
1130292282835
12132469a2010
137519aab250
143b1d065256
15208e992cb9
hex124237c38c

78420362124 has 96 divisors (see below), whose sum is σ = 198495566080. Its totient is φ = 23953708800.

The previous prime is 78420362107. The next prime is 78420362147. The reversal of 78420362124 is 42126302487.

It is a happy number.

It is a super-2 number, since 2×784203621242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13854807 + ... + 13860465.

Almost surely, 278420362124 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 78420362124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99247783040).

78420362124 is an abundant number, since it is smaller than the sum of its proper divisors (120075203956).

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

78420362124 is a wasteful number, since it uses less digits than its factorization.

78420362124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 78420362124 in words is "seventy-eight billion, four hundred twenty million, three hundred sixty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 211 421 422 633 842 844 1263 1266 1684 2526 2532 2743 5052 5473 5486 5659 8229 10946 10972 11318 16419 16458 16977 21892 22636 32838 32916 33954 65676 67908 73567 88831 147134 177662 220701 266493 294268 355324 441402 532986 882804 1065972 1154803 1194049 2309606 2382439 2388098 3464409 3582147 4619212 4764878 4776196 6928818 7147317 7164294 9529756 13857636 14294634 14328588 15522637 28589268 30971707 31045274 46567911 61943414 62090548 92915121 93135822 123886828 185830242 186271644 371660484 502694629 1005389258 1508083887 2010778516 3016167774 6032335548 6535030177 13070060354 19605090531 26140120708 39210181062 78420362124