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1113985098468 = 223211172337337577
BaseRepresentation
bin10000001101011110101…
…011111010001011100100
310221111101112111101020200
4100031132223322023210
5121222420141122333
62211431354430500
7143324406050244
oct20153653721344
93844345441220
101113985098468
1139a490601510
1215ba93432430
138108229a578
143bcba9c1b24
151de9d63dc13
hex1035eafa2e4

1113985098468 has 576 divisors, whose sum is σ = 3502148203008. Its totient is φ = 294298583040.

The previous prime is 1113985098437. The next prime is 1113985098481. The reversal of 1113985098468 is 8648905893111.

1113985098468 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 9 + 85 + 0 + 98 + 468 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1930649796 + ... + 1930650372.

It is an arithmetic number, because the mean of its divisors is an integer number (6080118408).

Almost surely, 21113985098468 is an apocalyptic number.

1113985098468 is a gapful number since it is divisible by the number (18) 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 1113985098468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751074101504).

1113985098468 is an abundant number, since it is smaller than the sum of its proper divisors (2388163104540).

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

1113985098468 is a wasteful number, since it uses less digits than its factorization.

1113985098468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 1113985098468 in words is "one trillion, one hundred thirteen billion, nine hundred eighty-five million, ninety-eight thousand, four hundred sixty-eight".