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10545540132 = 223191131912143
BaseRepresentation
bin10011101001001000…
…00010110000100100
31000012221021221111110
421310210002300210
5133044124241012
64502231305020
7522220416651
oct116444026044
930187257443
1010545540132
114521756426
12206381b170
13cc0a2899a
147207b0c28
1541ac1e73c
hex274902c24

10545540132 has 96 divisors (see below), whose sum is σ = 26279608320. Its totient is φ = 3281886720.

The previous prime is 10545540121. The next prime is 10545540167. The reversal of 10545540132 is 23104554501.

It is a super-2 number, since 2×105455401322 (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 10545540132.

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, 4919853 + ... + 4921995.

It is an arithmetic number, because the mean of its divisors is an integer number (273745920).

Almost surely, 210545540132 is an apocalyptic number.

10545540132 is a gapful number since it is divisible by the number (12) 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 10545540132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139804160).

10545540132 is an abundant number, since it is smaller than the sum of its proper divisors (15734068188).

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

10545540132 is a wasteful number, since it uses less digits than its factorization.

10545540132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10545540132 in words is "ten billion, five hundred forty-five million, five hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 113 114 191 226 228 339 382 452 573 678 764 1146 1356 2143 2147 2292 3629 4286 4294 6429 6441 7258 8572 8588 10887 12858 12882 14516 21583 21774 25716 25764 40717 43166 43548 64749 81434 86332 122151 129498 162868 242159 244302 258996 409313 410077 484318 488604 726477 818626 820154 968636 1227939 1230231 1452954 1637252 1640308 2455878 2460462 2905908 4601021 4911756 4920924 7776947 9202042 13803063 15553894 18404084 23330841 27606126 31107788 46252369 46661682 55212252 92504738 93323364 138757107 185009476 277514214 555028428 878795011 1757590022 2636385033 3515180044 5272770066 10545540132