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78741381864 = 233171919951043
BaseRepresentation
bin100100101010101011…
…0100010001011101000
321112020121210122111110
41021111112202023220
52242230243204424
6100101233030320
75455166462655
oct1112526421350
9245217718443
1078741381864
1130437503702
12133163b53a0
13756b458662
143b4d94ac2c
1520acc54c29
hex12555a22e8

78741381864 has 128 divisors (see below), whose sum is σ = 220510080000. Its totient is φ = 23284952064.

The previous prime is 78741381863. The next prime is 78741381871. The reversal of 78741381864 is 46818314787.

It is a super-2 number, since 2×787413818642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (78741381863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517127 + ... + 1568169.

It is an arithmetic number, because the mean of its divisors is an integer number (1722735000).

Almost surely, 278741381864 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 78741381864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110255040000).

78741381864 is an abundant number, since it is smaller than the sum of its proper divisors (141768698136).

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

78741381864 is a wasteful number, since it uses less digits than its factorization.

78741381864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51287 (or 51283 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The spelling of 78741381864 in words is "seventy-eight billion, seven hundred forty-one million, three hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 199 204 228 323 398 408 456 597 646 796 969 1194 1292 1592 1938 2388 2584 3383 3781 3876 4776 6766 7562 7752 10149 11343 13532 15124 20298 22686 27064 30248 40596 45372 51043 64277 81192 90744 102086 128554 153129 192831 204172 257108 306258 385662 408344 514216 612516 771324 867731 969817 1225032 1542648 1735462 1939634 2603193 2909451 3470924 3879268 5206386 5818902 6941848 7758536 10157557 10412772 11637804 16486889 20315114 20825544 23275608 30472671 32973778 40630228 49460667 60945342 65947556 81260456 98921334 121890684 131895112 172678469 192993583 197842668 243781368 345356938 385987166 395685336 518035407 578980749 690713876 771974332 1036070814 1157961498 1381427752 1543948664 2072141628 2315922996 3280890911 4144283256 4631845992 6561781822 9842672733 13123563644 19685345466 26247127288 39370690932 78741381864