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216408034620 = 223252185955001
BaseRepresentation
bin1100100110001011101…
…1001000110100111100
3202200120211220012120100
43021202323020310330
512021200424101440
6243225543121100
721430535641431
oct3114273106474
9680524805510
10216408034620
118386176a498
1235b36743190
131753a79aabb
14a68d309b88
155968bb9230
hex3262ec8d3c

216408034620 has 72 divisors (see below), whose sum is σ = 656479671120. Its totient is φ = 57705120000.

The previous prime is 216408034607. The next prime is 216408034631. The reversal of 216408034620 is 26430804612.

216408034620 is a `hidden beast` number, since 2 + 1 + 640 + 8 + 0 + 3 + 4 + 6 + 2 + 0 = 666.

216408034620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2164080346202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3907120 + ... + 3962120.

It is an arithmetic number, because the mean of its divisors is an integer number (9117773210).

Almost surely, 2216408034620 is an apocalyptic number.

216408034620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216408034620 is an abundant number, since it is smaller than the sum of its proper divisors (440071636500).

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

216408034620 is a wasteful number, since it uses less digits than its factorization.

216408034620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76875 (or 76870 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 216408034620 in words is "two hundred sixteen billion, four hundred eight million, thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21859 43718 55001 65577 87436 109295 110002 131154 165003 196731 218590 220004 262308 275005 327885 330006 393462 437180 495009 550010 655770 660012 786924 825015 983655 990018 1100020 1311540 1650030 1967310 1980036 2475045 3300060 3934620 4950090 9900180 1202266859 2404533718 3606800577 4809067436 6011334295 7213601154 10820401731 12022668590 14427202308 18034002885 21640803462 24045337180 36068005770 43281606924 54102008655 72136011540 108204017310 216408034620