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10493985312 = 253236437449
BaseRepresentation
bin10011100010111110…
…11000001000100000
31000002100021200120200
421301133120020200
5132442430012222
64453150305200
7521023255236
oct116137301040
930070250520
1010493985312
1144a5643538
12204a4b8200
13cb3147985
147179d0956
15416438eac
hex2717d8220

10493985312 has 36 divisors (see below), whose sum is σ = 29842271550. Its totient is φ = 3497995008.

The previous prime is 10493985311. The next prime is 10493985331. The reversal of 10493985312 is 21358939401.

It is a happy number.

10493985312 is a `hidden beast` number, since 10 + 493 + 98 + 53 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6889664016 + 3604321296 = 83004^2 + 60036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×104939853122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10493985311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18218437 + ... + 18219012.

Almost surely, 210493985312 is an apocalyptic number.

10493985312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10493985312 is an abundant number, since it is smaller than the sum of its proper divisors (19348286238).

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

10493985312 is a wasteful number, since it uses less digits than its factorization.

10493985312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36437465 (or 36437454 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10493985312 in words is "ten billion, four hundred ninety-three million, nine hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36437449 72874898 109312347 145749796 218624694 291499592 327937041 437249388 582999184 655874082 874498776 1165998368 1311748164 1748997552 2623496328 3497995104 5246992656 10493985312