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80640412696332 = 22341139672277733
BaseRepresentation
bin10010010101011110001111…
…001001110011111100001100
3101120112011000000022202120000
4102111132033021303330030
541032203031122240312
6443301405535124300
722662035413200426
oct2225361711637414
9346464000282500
1080640412696332
1123770452748625
12906479b073690
1335cc48720a498
1415cb034153816
1594c99760dadc
hex49578f273f0c

80640412696332 has 120 divisors (see below), whose sum is σ = 212895569505696. Its totient is φ = 26614697098752.

The previous prime is 80640412696307. The next prime is 80640412696351. The reversal of 80640412696332 is 23369621404608.

80640412696332 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 0 + 41 + 269 + 6 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34264938 + ... + 36542670.

Almost surely, 280640412696332 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 80640412696332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106447784752848).

80640412696332 is an abundant number, since it is smaller than the sum of its proper divisors (132255156809364).

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

80640412696332 is a wasteful number, since it uses less digits than its factorization.

80640412696332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278829 (or 2278818 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 80640412696332 in words is "eighty trillion, six hundred forty billion, four hundred twelve million, six hundred ninety-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 967 1017 1356 1934 2034 2901 3051 3868 4068 5802 6102 8703 9153 11604 12204 17406 18306 26109 34812 36612 52218 78327 104436 109271 156654 218542 313308 327813 437084 655626 983439 1311252 1966878 2277733 2950317 3933756 4555466 5900634 6833199 8850951 9110932 11801268 13666398 17701902 20499597 27332796 35403804 40999194 61498791 81998388 122997582 184496373 245995164 257383829 368992746 514767658 737985492 772151487 1029535316 1544302974 2202567811 2316454461 3088605948 4405135622 4632908922 6607703433 6949363383 8810271244 9265817844 13215406866 13898726766 19823110299 20848090149 26430813732 27797453532 39646220598 41696180298 59469330897 79292441196 83392360596 118938661794 178407992691 237877323588 248890162643 356815985382 497780325286 713631970764 746670487929 995560650572 1493340975858 2240011463787 2986681951716 4480022927574 6720034391361 8960045855148 13440068782722 20160103174083 26880137565444 40320206348166 80640412696332