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10664634148 = 2274161672273
BaseRepresentation
bin10011110111010100…
…10110011100100100
31000112020101112202221
421323222112130210
5133320121243043
64522124042124
7525164615560
oct117352263444
930466345687
1010664634148
1145829a9533
122097693344
13100c5c640c
147325326a0
154263e68ed
hex27ba96724

10664634148 has 96 divisors (see below), whose sum is σ = 22549056768. Its totient is φ = 4318617600.

The previous prime is 10664634139. The next prime is 10664634161. The reversal of 10664634148 is 84143646601.

It is a super-2 number, since 2×106646341482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4690740 + ... + 4693012.

It is an arithmetic number, because the mean of its divisors is an integer number (234886008).

Almost surely, 210664634148 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 10664634148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274528384).

10664634148 is an abundant number, since it is smaller than the sum of its proper divisors (11884422620).

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

10664634148 is a wasteful number, since it uses less digits than its factorization.

10664634148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 10664634148 in words is "ten billion, six hundred sixty-four million, six hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 61 67 82 122 134 164 244 268 287 427 469 574 854 938 1148 1708 1876 2273 2501 2747 4087 4546 5002 5494 8174 9092 10004 10988 15911 16348 17507 19229 28609 31822 35014 38458 57218 63644 70028 76916 93193 114436 138653 152291 167567 186386 277306 304582 335134 372772 554612 609164 652351 670268 970571 1066037 1172969 1304702 1941142 2132074 2345938 2609404 3882284 4264148 4691876 5684773 6243931 9289751 11369546 12487862 18579502 22739092 24975724 37159004 39793411 43707517 65028257 79586822 87415034 130056514 159173644 174830068 260113028 380879791 761759582 1523519164 2666158537 5332317074 10664634148