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78983000348 = 227171793892383
BaseRepresentation
bin100100110001111000…
…0001111000100011100
321112212110110010202012
41021203300033010130
52243224122002343
6100141223450352
75464162266020
oct1114360170434
9245773403665
1078983000348
11305509321aa
12133832b69b8
1375a9525085
143b73a84380
1520c4080718
hex1263c0f11c

78983000348 has 96 divisors (see below), whose sum is σ = 168695654400. Its totient is φ = 31586006016.

The previous prime is 78983000347. The next prime is 78983000407. The reversal of 78983000348 is 84300038987.

It is a happy number.

It is a super-2 number, since 2×789830003482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78983000296 and 78983000305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78983000347) 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, 33143165 + ... + 33145547.

It is an arithmetic number, because the mean of its divisors is an integer number (1757246400).

Almost surely, 278983000348 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 78983000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84347827200).

78983000348 is an abundant number, since it is smaller than the sum of its proper divisors (89712654052).

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

78983000348 is a wasteful number, since it uses less digits than its factorization.

78983000348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 78983000348 in words is "seventy-eight billion, nine hundred eighty-three million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 17 28 34 68 119 179 238 358 389 476 716 778 1253 1556 2383 2506 2723 3043 4766 5012 5446 6086 6613 9532 10892 12172 13226 16681 21301 26452 33362 40511 42602 46291 66724 69631 81022 85204 92582 139262 162044 185164 278524 283577 426557 487417 567154 853114 926987 974834 1134308 1183727 1706228 1853974 1949668 2367454 2985899 3707948 4734908 5971798 6488909 7251469 8286089 11943596 12977818 14502938 15758779 16572178 25955636 29005876 31517558 33144356 50760283 63035116 101520566 110311453 165930673 203041132 220622906 331861346 441245812 663722692 1161514711 2323029422 2820821441 4646058844 5641642882 11283285764 19745750087 39491500174 78983000348