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211355699968 = 287316314767
BaseRepresentation
bin1100010011010111001…
…0000000101100000000
3202012112202001000100201
43010311302000230000
511430324024344333
6241032342054544
721161406544000
oct3046562005400
9665482030321
10211355699968
11816a9867706
1234b6671a454
1316c13b4727a
14a330304000
15577037617d
hex3135c80b00

211355699968 has 144 divisors (see below), whose sum is σ = 495046988800. Its totient is φ = 90019206144.

The previous prime is 211355699917. The next prime is 211355699977. The reversal of 211355699968 is 869996553112.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14305321 + ... + 14320087.

Almost surely, 2211355699968 is an apocalyptic number.

211355699968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211355699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247523494400).

211355699968 is an abundant number, since it is smaller than the sum of its proper divisors (283691288832).

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

211355699968 is an equidigital number, since it uses as much as digits as its factorization.

211355699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967 (or 14939 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 64.

The spelling of 211355699968 in words is "two hundred eleven billion, three hundred fifty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 163 196 224 256 326 343 392 448 652 686 784 896 1141 1304 1372 1568 1792 2282 2608 2744 3136 4564 5216 5488 6272 7987 9128 10432 10976 12544 14767 15974 18256 20864 21952 29534 31948 36512 41728 43904 55909 59068 63896 73024 87808 103369 111818 118136 127792 146048 206738 223636 236272 255584 292096 413476 447272 472544 511168 723583 826952 894544 945088 1022336 1447166 1653904 1789088 1890176 2044672 2407021 2894332 3307808 3578176 3780352 4814042 5065081 5788664 6615616 7156352 9628084 10130162 11577328 13231232 14312704 16849147 19256168 20260324 23154656 26462464 33698294 38512336 40520648 46309312 67396588 77024672 81041296 92618624 117944029 134793176 154049344 162082592 185237248 235888058 269586352 308098688 324165184 471776116 539172704 616197376 648330368 825608203 943552232 1078345408 1296660736 1651216406 1887104464 2156690816 3302432812 3774208928 4313381632 6604865624 7548417856 13209731248 15096835712 26419462496 30193671424 52838924992 105677849984 211355699968