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216458781456 = 243531674671091
BaseRepresentation
bin1100100110010111110…
…0101110001100010000
3202200201101101102010210
43021211330232030100
512021301422001311
6243234554524120
721432023166411
oct3114574561420
9680641342123
10216458781456
1183888380325
1235b4b736640
1317548158108
14a695d59808
15596d3903a6
hex3265f2e310

216458781456 has 160 divisors (see below), whose sum is σ = 574901203968. Its totient is φ = 70152609280.

The previous prime is 216458781443. The next prime is 216458781467. The reversal of 216458781456 is 654187854612.

It is a junction number, because it is equal to n+sod(n) for n = 216458781396 and 216458781405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198403471 + ... + 198404561.

Almost surely, 2216458781456 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 216458781456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287450601984).

216458781456 is an abundant number, since it is smaller than the sum of its proper divisors (358442422512).

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

216458781456 is a wasteful number, since it uses less digits than its factorization.

216458781456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1783 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 57.

The spelling of 216458781456 in words is "two hundred sixteen billion, four hundred fifty-eight million, seven hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 167 212 318 334 424 467 501 636 668 848 934 1002 1091 1272 1336 1401 1868 2004 2182 2544 2672 2802 3273 3736 4008 4364 5604 6546 7472 8016 8728 8851 11208 13092 17456 17702 22416 24751 26184 26553 35404 49502 52368 53106 57823 70808 74253 77989 99004 106212 115646 141616 148506 155978 173469 182197 198008 212424 231292 233967 297012 311956 346938 364394 396016 424848 462584 467934 509497 546591 594024 623912 693876 728788 925168 935868 1018994 1093182 1188048 1247824 1387752 1457576 1528491 1871736 2037988 2186364 2775504 2915152 3056982 3743472 4075976 4133417 4372728 6113964 8151952 8266834 8745456 9656441 12227928 12400251 16533668 19312882 24455856 24800502 27003341 28969323 33067336 38625764 49601004 54006682 57938646 66134672 77251528 81010023 85085999 99202008 108013364 115877292 154503056 162020046 170171998 198404016 216026728 231754584 255257997 324040092 340343996 432053456 463509168 510515994 648080184 680687992 1021031988 1296160368 1361375984 2042063976 4084127952 4509557947 9019115894 13528673841 18038231788 27057347682 36076463576 54114695364 72152927152 108229390728 216458781456