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218406097104 = 24313595932369
BaseRepresentation
bin1100101101101000000…
…1001001000011010000
3202212202002121022000120
43023122001021003100
512034243430101404
6244200120350240
721531210123456
oct3133201110320
9685662538016
10218406097104
11846976033a8
12363b3915380
13177987172b0
14a7dc81c9d6
155a342e79d9
hex32da0490d0

218406097104 has 80 divisors (see below), whose sum is σ = 617915659200. Its totient is φ = 66062850048.

The previous prime is 218406097087. The next prime is 218406097111. The reversal of 218406097104 is 401790604812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929369 + ... + 3003000.

It is an arithmetic number, because the mean of its divisors is an integer number (7723945740).

Almost surely, 2218406097104 is an apocalyptic number.

218406097104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

218406097104 is an abundant number, since it is smaller than the sum of its proper divisors (399509562096).

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

218406097104 is a wasteful number, since it uses less digits than its factorization.

218406097104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932452 (or 5932446 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 218406097104 in words is "two hundred eighteen billion, four hundred six million, ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 5932369 11864738 17797107 23729476 35594214 47458952 71188428 77120797 94917904 142376856 154241594 231362391 284753712 308483188 350009771 462724782 616966376 700019542 925449564 1050029313 1233932752 1400039084 1850899128 2100058626 2800078168 3701798256 4200117252 4550127023 5600156336 8400234504 9100254046 13650381069 16800469008 18200508092 27300762138 36401016184 54601524276 72802032368 109203048552 218406097104