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206870214912 = 2831952327107
BaseRepresentation
bin1100000010101001101…
…1001111100100000000
3201202222010210202121120
43000222123033210000
511342132233334122
6235011310352240
720642302546044
oct3005233174400
9652863722546
10206870214912
117a807930369
12341144bb680
131667a7833ba
14a0266d6024
1555ab6a375c
hex302a6cf900

206870214912 has 144 divisors (see below), whose sum is σ = 580683720960. Its totient is φ = 65200121856.

The previous prime is 206870214871. The next prime is 206870214913. The reversal of 206870214912 is 219412078602.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (206870214913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618063 + ... + 7645169.

It is an arithmetic number, because the mean of its divisors is an integer number (4032525840).

Almost surely, 2206870214912 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 206870214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290341860480).

206870214912 is an abundant number, since it is smaller than the sum of its proper divisors (373813506048).

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

206870214912 is a wasteful number, since it uses less digits than its factorization.

206870214912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27668 (or 27654 counting only the distinct ones).

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

The spelling of 206870214912 in words is "two hundred six billion, eight hundred seventy million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 523 608 768 912 1046 1216 1569 1824 2092 2432 3138 3648 4184 4864 6276 7296 8368 9937 12552 14592 16736 19874 25104 27107 29811 33472 39748 50208 54214 59622 66944 79496 81321 100416 108428 119244 133888 158992 162642 200832 216856 238488 317984 325284 401664 433712 476976 515033 635968 650568 867424 953952 1030066 1271936 1301136 1545099 1734848 1907904 2060132 2543872 2602272 3090198 3469696 3815808 4120264 5204544 6180396 6939392 7631616 8240528 10409088 12360792 14176961 16481056 20818176 24721584 28353922 32962112 42530883 49443168 56707844 65924224 85061766 98886336 113415688 131848448 170123532 197772672 226831376 269362259 340247064 395545344 453662752 538724518 680494128 808086777 907325504 1077449036 1360988256 1616173554 1814651008 2154898072 2721976512 3232347108 3629302016 4309796144 5443953024 6464694216 8619592288 10887906048 12929388432 17239184576 25858776864 34478369152 51717553728 68956738304 103435107456 206870214912