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68000132000 = 2553151112583
BaseRepresentation
bin111111010101000111…
…111010101110100000
320111112001020121201102
4333111013322232200
52103231013211000
651123330453532
74625051404463
oct772507725640
9214461217642
1068000132000
11269253356a9
12112191342a8
1365490183c8
1434111932da
151b7ec773d5
hexfd51faba0

68000132000 has 96 divisors (see below), whose sum is σ = 168184283904. Its totient is φ = 27019680000.

The previous prime is 68000131963. The next prime is 68000132009. The reversal of 68000132000 is 23100086.

It is a Harshad number since it is a multiple of its sum of digits (20).

68000132000 is a modest number, since divided by 132000 gives 68000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (68000132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547709 + ... + 660291.

It is an arithmetic number, because the mean of its divisors is an integer number (1751919624).

Almost surely, 268000132000 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 68000132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84092141952).

68000132000 is an abundant number, since it is smaller than the sum of its proper divisors (100184151904).

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

68000132000 is a wasteful number, since it uses less digits than its factorization.

68000132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112759 (or 112741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 68000132000 its reverse (23100086), we get a palindrome (68023232086).

The spelling of 68000132000 in words is "sixty-eight billion, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 151 160 200 250 302 400 500 604 755 800 1000 1208 1510 2000 2416 3020 3775 4000 4832 6040 7550 12080 15100 18875 24160 30200 37750 60400 75500 112583 120800 151000 225166 302000 450332 562915 604000 900664 1125830 1801328 2251660 2814575 3602656 4503320 5629150 9006640 11258300 14072875 17000033 18013280 22516600 28145750 34000066 45033200 56291500 68000132 85000165 90066400 112583000 136000264 170000330 225166000 272000528 340000660 425000825 450332000 544001056 680001320 850001650 1360002640 1700003300 2125004125 2720005280 3400006600 4250008250 6800013200 8500016500 13600026400 17000033000 34000066000 68000132000