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10898763120 = 2432575340801
BaseRepresentation
bin10100010011001110…
…11110110101110000
31001010112221112100100
422021213132311300
5134310040404440
65001250152400
7534036646410
oct121147366560
931115845310
1010898763120
114693082053
122141b82700
131048c6cb7b
1475567a640
1543bc43230
hex2899ded70

10898763120 has 240 divisors, whose sum is σ = 42620789952. Its totient is φ = 2444083200.

The previous prime is 10898763097. The next prime is 10898763193. The reversal of 10898763120 is 2136789801.

10898763120 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 8 + 7 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246720 + ... + 287520.

Almost surely, 210898763120 is an apocalyptic number.

10898763120 is a gapful number since it is divisible by the number (10) 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 10898763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21310394976).

10898763120 is an abundant number, since it is smaller than the sum of its proper divisors (31722026832).

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

10898763120 is a wasteful number, since it uses less digits than its factorization.

10898763120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40880 (or 40871 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10898763120 in words is "ten billion, eight hundred ninety-eight million, seven hundred sixty-three thousand, one hundred twenty".