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211266252056 = 231941136724799
BaseRepresentation
bin1100010011000001110…
…0110010110100011000
3202012022111201120220002
43010300130302310120
511430133130031211
6241015424552132
721156242340626
oct3046034626430
9665274646802
10211266252056
1181663323112
1234b40782648
1316bcb459702
14a32249c516
1557675a803b
hex3130732d18

211266252056 has 64 divisors (see below), whose sum is σ = 427472640000. Its totient is φ = 97557315840.

The previous prime is 211266252053. The next prime is 211266252061. The reversal of 211266252056 is 650252662112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211266252053) 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, 8506745 + ... + 8531543.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260000).

Almost surely, 2211266252056 is an apocalyptic number.

It is an amenable number.

211266252056 is an abundant number, since it is smaller than the sum of its proper divisors (216206387944).

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

211266252056 is a wasteful number, since it uses less digits than its factorization.

211266252056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 211266252056 in words is "two hundred eleven billion, two hundred sixty-six million, two hundred fifty-two thousand, fifty-six".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1367 1558 2734 3116 5468 6232 10936 24799 25973 49598 51946 56047 99196 103892 112094 198392 207784 224188 448376 471181 942362 1016759 1064893 1884724 2033518 2129786 3769448 4067036 4259572 8134072 8519144 19318421 33900233 38636842 67800466 77273684 135600932 154547368 271201864 644104427 1288208854 1389909553 2576417708 2779819106 5152835416 5559638212 11119276424 26408281507 52816563014 105633126028 211266252056