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214683687072 = 25321514936619
BaseRepresentation
bin1100011111110000100…
…1010001100010100000
3202112010200020021102100
43013330021101202200
512004133010441242
6242342504250400
721340030142211
oct3077411214240
9675120207370
10214683687072
1183057387678
1235735170a00
13173244782ca
14a5682c7408
1558b760654c
hex31fc2518a0

214683687072 has 72 divisors (see below), whose sum is σ = 614549950560. Its totient is φ = 71087299200.

The previous prime is 214683687061. The next prime is 214683687103. The reversal of 214683687072 is 270786386412.

214683687072 is a `hidden beast` number, since 2 + 1 + 468 + 36 + 87 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424822 + ... + 2511797.

It is an arithmetic number, because the mean of its divisors is an integer number (8535415980).

Almost surely, 2214683687072 is an apocalyptic number.

It is an amenable number.

214683687072 is an abundant number, since it is smaller than the sum of its proper divisors (399866263488).

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

214683687072 is a wasteful number, since it uses less digits than its factorization.

214683687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936786 (or 4936775 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 214683687072 in words is "two hundred fourteen billion, six hundred eighty-three million, six hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 4936619 9873238 14809857 19746476 29619714 39492952 44429571 59239428 78985904 88859142 118478856 157971808 177718284 236957712 355436568 473915424 710873136 745429469 1421746272 1490858938 2236288407 2981717876 4472576814 5963435752 6708865221 8945153628 11926871504 13417730442 17890307256 23853743008 26835460884 35780614512 53670921768 71561229024 107341843536 214683687072