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67400400700 = 225210110961223
BaseRepresentation
bin111110110001011000…
…000111111100111100
320102222020202010001001
4332301120013330330
52101014000310300
650544024300044
74604146644643
oct766130077474
9212866663031
1067400400700
11266478506a6
1211090311624
1364819b4c09
14339567a35a
151b472ae16a
hexfb1607f3c

67400400700 has 72 divisors (see below), whose sum is σ = 149064521760. Its totient is φ = 26447904000.

The previous prime is 67400400677. The next prime is 67400400763. The reversal of 67400400700 is 700400476.

It is a congruent number.

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, 1070289 + ... + 1131511.

It is an arithmetic number, because the mean of its divisors is an integer number (2070340580).

Almost surely, 267400400700 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 67400400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74532260880).

67400400700 is an abundant number, since it is smaller than the sum of its proper divisors (81664121060).

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

67400400700 is a wasteful number, since it uses less digits than its factorization.

67400400700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61447 (or 61440 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 67400400700 in words is "sixty-seven billion, four hundred million, four hundred thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 109 202 218 404 436 505 545 1010 1090 2020 2180 2525 2725 5050 5450 10100 10900 11009 22018 44036 55045 61223 110090 122446 220180 244892 275225 306115 550450 612230 1100900 1224460 1530575 3061150 6122300 6183523 6673307 12367046 13346614 24734092 26693228 30917615 33366535 61835230 66733070 123670460 133466140 154588075 166832675 309176150 333665350 618352300 667330700 674004007 1348008014 2696016028 3370020035 6740040070 13480080140 16850100175 33700200350 67400400700