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1188058240428 = 2232945722033391
BaseRepresentation
bin10001010010011101110…
…010100001010110101100
311012120120211011212110220
4101102131302201112230
5123431120402143203
62305441511131340
7151556122264323
oct21223562412654
94176524155426
101188058240428
114189419a4404
12172306373b50
1388058535297
144170654b0ba
1520d86621653
hex1149dca15ac

1188058240428 has 96 divisors (see below), whose sum is σ = 2876154408960. Its totient is φ = 381241244160.

The previous prime is 1188058240427. The next prime is 1188058240471. The reversal of 1188058240428 is 8240428508811.

It is a super-2 number, since 2×11880582404282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1188058240427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350354613 + ... + 350358003.

It is an arithmetic number, because the mean of its divisors is an integer number (29959941760).

Almost surely, 21188058240428 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 1188058240428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438077204480).

1188058240428 is an abundant number, since it is smaller than the sum of its proper divisors (1688096168532).

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

1188058240428 is a wasteful number, since it uses less digits than its factorization.

1188058240428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 51.

The spelling of 1188058240428 in words is "one trillion, one hundred eighty-eight billion, fifty-eight million, two hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 457 914 1371 1828 2203 2742 3391 4406 5484 6609 6782 8812 10173 13218 13253 13564 20346 26436 26506 39759 40692 53012 63887 79518 98339 127774 159036 191661 196678 255548 295017 383322 393356 590034 766644 1006771 1180068 1549687 2013542 3020313 3099374 4027084 4649061 6040626 6198748 7470373 9298122 12081252 14940746 18596244 22411119 29196359 29881492 44822238 44940923 58392718 87589077 89644476 89881846 116785436 134822769 175178154 179763692 216640817 269645538 350356308 433281634 539291076 649922451 866563268 1299844902 2599689804 3413960461 6827920922 10241881383 13655841844 20483762766 40967525532 99004853369 198009706738 297014560107 396019413476 594029120214 1188058240428