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216472597104 = 24323241821991
BaseRepresentation
bin1100100110011011000…
…1011011001001110000
3202200202100101022122110
43021212301123021300
512021313441101404
6243240211005320
721432251500311
oct3114661331160
9680670338573
10216472597104
1183895157215
1235b54299840
131754ac8465a
14a697b14608
15596e6bdb89
hex3266c5b270

216472597104 has 160 divisors (see below), whose sum is σ = 587261841408. Its totient is φ = 68580864000.

The previous prime is 216472597079. The next prime is 216472597129. The reversal of 216472597104 is 401795274612.

It is an interprime number because it is at equal distance from previous prime (216472597079) and next prime (216472597129).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 218438049 + ... + 218439039.

Almost surely, 2216472597104 is an apocalyptic number.

216472597104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216472597104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293630920704).

216472597104 is an abundant number, since it is smaller than the sum of its proper divisors (370789244304).

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

216472597104 is a wasteful number, since it uses less digits than its factorization.

216472597104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 216472597104 in words is "two hundred sixteen billion, four hundred seventy-two million, five hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 241 276 368 482 552 723 821 964 991 1104 1446 1642 1928 1982 2463 2892 2973 3284 3856 3964 4926 5543 5784 5946 6568 7928 9852 11086 11568 11892 13136 15856 16629 18883 19704 22172 22793 23784 33258 37766 39408 44344 45586 47568 56649 66516 68379 75532 88688 91172 113298 133032 136758 151064 182344 197861 226596 238831 266064 273516 302128 364688 395722 453192 477662 547032 593583 716493 791444 813611 906384 955324 1094064 1187166 1432986 1582888 1627222 1910648 2374332 2440833 2865972 3165776 3254444 3821296 4550803 4748664 4881666 5493113 5731944 6508888 9101606 9497328 9763332 10986226 11463888 13017776 13652409 16479339 18203212 18713053 19526664 21972452 27304818 32958678 36406424 37426106 39053328 43944904 54609636 56139159 65917356 72812848 74852212 87889808 109219272 112278318 131834712 149704424 196080251 218438544 224556636 263669424 299408848 392160502 449113272 588240753 784321004 898226544 1176481506 1568642008 2352963012 3137284016 4509845773 4705926024 9019691546 9411852048 13529537319 18039383092 27059074638 36078766184 54118149276 72157532368 108236298552 216472597104