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1098990993408 = 214371117192931
BaseRepresentation
bin11111111111000001111…
…01111100000000000000
310220001200120102220220020
433333200331330000000
5121001213143242113
62200511451013440
7142254010212240
oct17774075740000
93801616386806
101098990993408
11394096846450
12158ba9a3a280
137c832a36759
143b297493b20
151d8c20e1023
hexffe0f7c000

1098990993408 has 1920 divisors, whose sum is σ = 4348521676800. Its totient is φ = 237817036800.

The previous prime is 1098990993383. The next prime is 1098990993421. The reversal of 1098990993408 is 8043990998901.

1098990993408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35451322353 + ... + 35451322383.

It is an arithmetic number, because the mean of its divisors is an integer number (2264855040).

Almost surely, 21098990993408 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 1098990993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174260838400).

1098990993408 is an abundant number, since it is smaller than the sum of its proper divisors (3249530683392).

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

1098990993408 is a wasteful number, since it uses less digits than its factorization.

1098990993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 69.

The spelling of 1098990993408 in words is "one trillion, ninety-eight billion, nine hundred ninety million, nine hundred ninety-three thousand, four hundred eight".