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138201786288 = 24321735547599
BaseRepresentation
bin1000000010110101110…
…1111110011110110000
3111012201112001011021100
42000231131332132300
54231014124130123
6143253343524400
712661524541506
oct2005535763660
9435645034240
10138201786288
115367a33a605
122294b5b9700
1310056179007
14699089c676
1538dce1c643
hex202d77e7b0

138201786288 has 60 divisors (see below), whose sum is σ = 389008807200. Its totient is φ = 45800969088.

The previous prime is 138201786257. The next prime is 138201786299. The reversal of 138201786288 is 882687102831.

138201786288 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 1 + 7 + 8 + 628 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748888 + ... + 2798711.

It is an arithmetic number, because the mean of its divisors is an integer number (6483480120).

Almost surely, 2138201786288 is an apocalyptic number.

138201786288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138201786288 is an abundant number, since it is smaller than the sum of its proper divisors (250807020912).

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

138201786288 is a wasteful number, since it uses less digits than its factorization.

138201786288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547786 (or 5547777 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 138201786288 in words is "one hundred thirty-eight billion, two hundred one million, seven hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 5547599 11095198 16642797 22190396 33285594 44380792 49928391 66571188 88761584 99856782 133142376 199713564 266284752 399427128 798854256 959734627 1919469254 2879203881 3838938508 5758407762 7677877016 8637611643 11516815524 15355754032 17275223286 23033631048 34550446572 46067262096 69100893144 138201786288