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78403312704 = 2631995413793
BaseRepresentation
bin100100100000100110…
…0111001110001000000
321111101001122221210110
41021001030321301000
52241032222001304
6100003515031320
75443623106413
oct1110114716100
9244331587713
1078403312704
1130283698302
121324113b540
1375163bbb32
143b1aaa7b7a
15208d226289
hex1241339c40

78403312704 has 112 divisors (see below), whose sum is σ = 208924956800. Its totient is φ = 25948200960.

The previous prime is 78403312697. The next prime is 78403312769. The reversal of 78403312704 is 40721330487.

It is a super-2 number, since 2×784033127042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20668632 + ... + 20672424.

It is an arithmetic number, because the mean of its divisors is an integer number (1865401400).

Almost surely, 278403312704 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 78403312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104462478400).

78403312704 is an abundant number, since it is smaller than the sum of its proper divisors (130521644096).

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

78403312704 is a wasteful number, since it uses less digits than its factorization.

78403312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 78403312704 in words is "seventy-eight billion, four hundred three million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 541 597 796 1082 1194 1592 1623 2164 2388 3184 3246 3793 4328 4776 6368 6492 7586 8656 9552 11379 12736 12984 15172 17312 19104 22758 25968 30344 34624 38208 45516 51936 60688 91032 103872 107659 121376 182064 215318 242752 322977 364128 430636 645954 728256 754807 861272 1291908 1509614 1722544 2052013 2264421 2583816 3019228 3445088 4104026 4528842 5167632 6038456 6156039 6890176 8208052 9057684 10335264 12076912 12312078 16416104 18115368 20670528 24153824 24624156 32832208 36230736 48307648 49248312 65664416 72461472 98496624 131328832 144922944 196993248 393986496 408350587 816701174 1225051761 1633402348 2450103522 3266804696 4900207044 6533609392 9800414088 13067218784 19600828176 26134437568 39201656352 78403312704