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10999004352 = 2637173153293
BaseRepresentation
bin10100011111001011…
…10111110011000000
31001101112120022110120
422033211313303000
5140011221114402
65015230500240
7536364665040
oct121745676300
931345508416
1010999004352
114734718846
12216b664680
1310639693cb
14764ad1720
154459443bc
hex28f977cc0

10999004352 has 448 divisors, whose sum is σ = 37163556864. Its totient is φ = 2798714880.

The previous prime is 10999004293. The next prime is 10999004353. The reversal of 10999004352 is 25340099901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10999004353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37539118 + ... + 37539410.

It is an arithmetic number, because the mean of its divisors is an integer number (82954368).

Almost surely, 210999004352 is an apocalyptic number.

10999004352 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 10999004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18581778432).

10999004352 is an abundant number, since it is smaller than the sum of its proper divisors (26164552512).

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

10999004352 is a wasteful number, since it uses less digits than its factorization.

10999004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 10999004352 in words is "ten billion, nine hundred ninety-nine million, four thousand, three hundred fifty-two".