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10633898214 = 2310127709
BaseRepresentation
bin10011110011101010…
…00110100011100110
31000110002120000000000
421321311012203212
5133234234220324
64515105202130
7524342433462
oct117165064346
930402500000
1010633898214
114567616135
122089330346
131006124484
1472c4114a2
154238749c9
hex279d468e6

10633898214 has 88 divisors (see below), whose sum is σ = 24148542720. Its totient is φ = 3511762128.

The previous prime is 10633898201. The next prime is 10633898251. The reversal of 10633898214 is 41289833601.

10633898214 is a `hidden beast` number, since 1 + 0 + 633 + 8 + 9 + 8 + 2 + 1 + 4 = 666.

It is a super-2 number, since 2×106338982142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10633898214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 14998092 + ... + 14998800.

Almost surely, 210633898214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10633898214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074271360).

10633898214 is an abundant number, since it is smaller than the sum of its proper divisors (13514644506).

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

10633898214 is an frugal number, since it uses more digits than its factorization.

10633898214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10633898214 in words is "ten billion, six hundred thirty-three million, eight hundred ninety-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 243 254 381 486 709 729 762 1143 1418 1458 2127 2187 2286 3429 4254 4374 6381 6561 6858 10287 12762 13122 19143 19683 20574 30861 38286 39366 57429 59049 61722 90043 92583 114858 118098 172287 180086 185166 270129 277749 344574 516861 540258 555498 810387 833247 1033722 1550583 1620774 1666494 2431161 2499741 3101166 4651749 4862322 4999482 7293483 7499223 9303498 13955247 14586966 14998446 21880449 27910494 41865741 43760898 65641347 83731482 131282694 196924041 393848082 590772123 1181544246 1772316369 3544632738 5316949107 10633898214