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67400674020 = 22335577216319
BaseRepresentation
bin111110110001011001…
…001010101011100100
320102222021020222222000
4332301121022223210
52101014033032040
650544034205300
74604152163541
oct766131125344
9212867228860
1067400674020
1126647a17a89
1211090423830
136481a7c444
14339570bbc8
151b47315130
hexfb164aae4

67400674020 has 96 divisors (see below), whose sum is σ = 210055372800. Its totient is φ = 17942280192.

The previous prime is 67400673983. The next prime is 67400674037. The reversal of 67400674020 is 2047600476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 203421 + ... + 419739.

It is an arithmetic number, because the mean of its divisors is an integer number (2188076800).

Almost surely, 267400674020 is an apocalyptic number.

67400674020 is a gapful number since it is divisible by the number (60) 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 67400674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105027686400).

67400674020 is an abundant number, since it is smaller than the sum of its proper divisors (142654698780).

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

67400674020 is a wasteful number, since it uses less digits than its factorization.

67400674020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216914 (or 216906 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 67400674020 in words is "sixty-seven billion, four hundred million, six hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 1154 1731 2308 2885 3462 5193 5770 6924 8655 10386 11540 15579 17310 20772 25965 31158 34620 51930 62316 77895 103860 155790 216319 311580 432638 648957 865276 1081595 1297914 1946871 2163190 2595828 3244785 3893742 4326380 5840613 6489570 7787484 9734355 11681226 12979140 19468710 23362452 29203065 38937420 58406130 116812260 124816063 249632126 374448189 499264252 624080315 748896378 1123344567 1248160630 1497792756 1872240945 2246689134 2496321260 3370033701 3744481890 4493378268 5616722835 6740067402 7488963780 11233445670 13480134804 16850168505 22466891340 33700337010 67400674020