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78983000334 = 2327322357367
BaseRepresentation
bin100100110001111000…
…0001111000100001110
321112212110110010201200
41021203300033010032
52243224122002314
6100141223450330
75464162266000
oct1114360170416
9245773403650
1078983000334
1130550932197
12133832b69a6
1375a9525074
143b73a84370
1520c4080709
hex1263c0f10e

78983000334 has 96 divisors (see below), whose sum is σ = 200466739200. Its totient is φ = 22464984528.

The previous prime is 78983000321. The next prime is 78983000347. The reversal of 78983000334 is 43300038987.

It is a happy number.

78983000334 is a `hidden beast` number, since 7 + 8 + 9 + 8 + 300 + 0 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (78983000321) and next prime (78983000347).

It is a super-2 number, since 2×789830003342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78983000334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348119 + ... + 1405485.

It is an arithmetic number, because the mean of its divisors is an integer number (2088195200).

Almost surely, 278983000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78983000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100233369600).

78983000334 is an abundant number, since it is smaller than the sum of its proper divisors (121483738866).

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

78983000334 is a wasteful number, since it uses less digits than its factorization.

78983000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57619 (or 57602 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 78983000334 in words is "seventy-eight billion, nine hundred eighty-three million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 223 294 343 441 446 669 686 882 1029 1338 1561 2007 2058 3087 3122 4014 4683 6174 9366 10927 14049 21854 28098 32781 57367 65562 76489 98343 114734 152978 172101 196686 229467 344202 401569 458934 516303 688401 803138 1032606 1204707 1376802 2409414 2810983 3614121 5621966 7228242 8432949 12792841 16865898 19676881 25298847 25585682 38378523 39353762 50597694 59030643 76757046 89549887 115135569 118061286 177091929 179099774 230271138 268649661 354183858 537299322 626849209 805948983 1253698418 1611897966 1880547627 3761095254 4387944463 5641642881 8775888926 11283285762 13163833389 26327666778 39491500167 78983000334