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78380271516 = 223234358711251
BaseRepresentation
bin100100011111111010…
…1000000011110011100
321111022110022100020010
41020333311000132130
52241010322142031
6100001333123220
75443223213061
oct1107765003634
9244273270203
1078380271516
11302716900a8
1213235489510
1375116b23b1
143b179cac68
15208b1c4246
hex123fd4079c

78380271516 has 96 divisors (see below), whose sum is σ = 195627091968. Its totient is φ = 24365880000.

The previous prime is 78380271511. The next prime is 78380271517. The reversal of 78380271516 is 61517208387.

It is a happy number.

It is a super-2 number, since 2×783802715162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78380271511) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6960891 + ... + 6972141.

It is an arithmetic number, because the mean of its divisors is an integer number (2037782208).

Almost surely, 278380271516 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 78380271516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97813545984).

78380271516 is an abundant number, since it is smaller than the sum of its proper divisors (117246820452).

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

78380271516 is a wasteful number, since it uses less digits than its factorization.

78380271516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911 (or 11909 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 78380271516 in words is "seventy-eight billion, three hundred eighty million, two hundred seventy-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 587 989 1174 1761 1978 2348 2967 3522 3956 5934 7044 11251 11868 13501 22502 25241 27002 33753 40503 45004 50482 54004 67506 75723 81006 100964 135012 151446 162012 258773 302892 483793 517546 580543 776319 967586 1035092 1161086 1451379 1552638 1741629 1935172 2322172 2902758 3105276 3483258 5805516 6604337 6966516 11127239 13208674 19813011 22254478 26417348 33381717 39626022 44508956 66763434 79252044 133526868 151899751 283986491 303799502 455699253 567972982 607599004 851959473 911398506 1135945964 1703918946 1822797012 3407837892 6531689293 13063378586 19595067879 26126757172 39190135758 78380271516