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9145688412 = 2237593076011
BaseRepresentation
bin10001000010010000…
…00010000101011100
3212121101020002221110
420201020002011130
5122212244012122
64111303502020
7442432032420
oct104110020534
925541202843
109145688412
113973559083
121932a57910
13b299cc863
1462a8dab80
15387da890c
hex22120215c

9145688412 has 96 divisors (see below), whose sum is σ = 24886794240. Its totient is φ = 2559971520.

The previous prime is 9145688393. The next prime is 9145688429. The reversal of 9145688412 is 2148865419.

It is a congruent number.

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, 1518487 + ... + 1524497.

It is an arithmetic number, because the mean of its divisors is an integer number (259237440).

Almost surely, 29145688412 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 9145688412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443397120).

9145688412 is an abundant number, since it is smaller than the sum of its proper divisors (15741105828).

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

9145688412 is a wasteful number, since it uses less digits than its factorization.

9145688412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6389 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 9145688412 is about 95633.0926614841. The cubic root of 9145688412 is about 2091.2476553422.

The spelling of 9145688412 in words is "nine billion, one hundred forty-five million, six hundred eighty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 307 354 413 614 708 826 921 1228 1239 1652 1842 2149 2478 3684 4298 4956 6011 6447 8596 12022 12894 18033 18113 24044 25788 36066 36226 42077 54339 72132 72452 84154 108678 126231 126791 168308 217356 252462 253582 354649 380373 504924 507164 709298 760746 1063947 1418596 1521492 1845377 2127894 2482543 3690754 4255788 4965086 5536131 7381508 7447629 9930172 11072262 12917639 14895258 22144524 25835278 29790516 38752917 51670556 77505834 108877243 155011668 217754486 326631729 435508972 653263458 762140701 1306526916 1524281402 2286422103 3048562804 4572844206 9145688412