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214688069816 = 23117958752609
BaseRepresentation
bin1100011111110001100…
…1111111100010111000
3202112010222110221102012
43013330121333202320
512004140121213231
6242343142225052
721340112324663
oct3077431774270
9675128427365
10214688069816
1183059900480
1235736725188
131732535114c
14a568b086da
1558b7bbee2b
hex31fc67f8b8

214688069816 has 64 divisors (see below), whose sum is σ = 445459392000. Its totient is φ = 96184258560.

The previous prime is 214688069759. The next prime is 214688069927. The reversal of 214688069816 is 618960886412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054520 + ... + 4107128.

It is an arithmetic number, because the mean of its divisors is an integer number (6960303000).

Almost surely, 2214688069816 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 214688069816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222729696000).

214688069816 is an abundant number, since it is smaller than the sum of its proper divisors (230771322184).

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

214688069816 is a wasteful number, since it uses less digits than its factorization.

214688069816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53292 (or 53288 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 214688069816 in words is "two hundred fourteen billion, six hundred eighty-eight million, sixty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 587 632 869 1174 1738 2348 3476 4696 6457 6952 12914 25828 46373 51656 52609 92746 105218 185492 210436 370984 420872 510103 578699 1020206 1157398 2040412 2314796 4080824 4156111 4629592 8312222 16624444 30881483 33248888 45717221 61762966 91434442 123525932 182868884 247051864 339696313 365737768 679392626 1358785252 2439637157 2717570504 4879274314 9758548628 19517097256 26836008727 53672017454 107344034908 214688069816