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216856405080 = 233257212293447
BaseRepresentation
bin1100100111110110100…
…1100010010001011000
3202201202002120210012200
43021331221202101120
512023110214430310
6243342241210200
721444622013100
oct3117551422130
9681662523180
10216856405080
1183a71872897
1236040930960
13175ac646b73
14a6d2aa2200
1559932349c0
hex327da62458

216856405080 has 144 divisors (see below), whose sum is σ = 819850047120. Its totient is φ = 49567174272.

The previous prime is 216856405063. The next prime is 216856405141. The reversal of 216856405080 is 80504658612.

216856405080 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 564 + 0 + 5 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6129084 + ... + 6164363.

It is an arithmetic number, because the mean of its divisors is an integer number (5693403105).

Almost surely, 2216856405080 is an apocalyptic number.

216856405080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216856405080 is an abundant number, since it is smaller than the sum of its proper divisors (602993642040).

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

216856405080 is a wasteful number, since it uses less digits than its factorization.

216856405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293478 (or 12293464 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 216856405080 in words is "two hundred sixteen billion, eight hundred fifty-six million, four hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 12293447 24586894 36880341 49173788 61467235 73760682 86054129 98347576 110641023 122934470 147521364 172108258 184401705 221282046 245868940 258162387 295042728 344216516 368803410 430270645 442564092 491737880 516324774 553205115 602378903 688433032 737606820 774487161 860541290 885128184 1032649548 1106410230 1204757806 1290811935 1475213640 1548974322 1721082580 1807136709 2065299096 2212820460 2409515612 2581623870 3011894515 3097948644 3442165160 3614273418 3872435805 4425640920 4819031224 5163247740 5421410127 6023789030 6195897288 7228546836 7744871610 9035683545 10326495480 10842820254 12047578060 14457093672 15489743220 18071367090 21685640508 24095156120 27107050635 30979486440 36142734180 43371281016 54214101270 72285468360 108428202540 216856405080