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1138807695060 = 22355759567367
BaseRepresentation
bin10000100100100110001…
…110100110011011010100
311000212110110120221100000
4100210212032212123110
5122124234232220220
62231054441051300
7145163500456440
oct20444616463324
94025413527300
101138807695060
113a9a69289752
12164860486b30
1383509b2ba49
143d193589820
151e95296c390
hex109263a66d4

1138807695060 has 288 divisors, whose sum is σ = 4163482552320. Its totient is φ = 255886604928.

The previous prime is 1138807695019. The next prime is 1138807695083. The reversal of 1138807695060 is 605967088311.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1138807694988 and 1138807695006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723497 + ... + 2290863.

It is an arithmetic number, because the mean of its divisors is an integer number (14456536640).

Almost surely, 21138807695060 is an apocalyptic number.

1138807695060 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 1138807695060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081741276160).

1138807695060 is an abundant number, since it is smaller than the sum of its proper divisors (3024674857260).

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

1138807695060 is a wasteful number, since it uses less digits than its factorization.

1138807695060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567457 (or 567443 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1138807695060 in words is "one trillion, one hundred thirty-eight billion, eight hundred seven million, six hundred ninety-five thousand, sixty".