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12639238800 = 2435217236113
BaseRepresentation
bin10111100010101101…
…10111101010010000
31012121211221212010120
423301112313222100
5201341121120200
65450102430240
7625132520466
oct136126675220
935554855116
1012639238800
1153a6580201
122548a32380
13126571b636
1487c89a836
154de93e9a0
hex2f15b7a90

12639238800 has 120 divisors (see below), whose sum is σ = 40517820384. Its totient is φ = 3367956480.

The previous prime is 12639238793. The next prime is 12639238819. The reversal of 12639238800 is 883293621.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064544 + ... + 2070656.

Almost surely, 212639238800 is an apocalyptic number.

12639238800 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 12639238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258910192).

12639238800 is an abundant number, since it is smaller than the sum of its proper divisors (27878581584).

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

12639238800 is a wasteful number, since it uses less digits than its factorization.

12639238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12639238800 in words is "twelve billion, six hundred thirty-nine million, two hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1723 3446 5169 6113 6892 8615 10338 12226 13784 17230 18339 20676 24452 25845 27568 30565 34460 36678 41352 43075 48904 51690 61130 68920 73356 82704 86150 91695 97808 103380 122260 129225 137840 146712 152825 172300 183390 206760 244520 258450 293424 305650 344600 366780 413520 458475 489040 516900 611300 689200 733560 916950 1033800 1222600 1467120 1833900 2067600 2445200 3667800 7335600 10532699 21065398 31598097 42130796 52663495 63196194 84261592 105326990 126392388 157990485 168523184 210653980 252784776 263317475 315980970 421307960 505569552 526634950 631961940 789952425 842615920 1053269900 1263923880 1579904850 2106539800 2527847760 3159809700 4213079600 6319619400 12639238800