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640323136404 = 2232771199717921
BaseRepresentation
bin10010101000101100011…
…10111010101110010100
32021012210012221121210200
421110112032322232110
540442340210331104
61210054351020500
764155542566320
oct11242616725624
92235705847720
10640323136404
11227617798816
12a4122b0a730
13484c794b733
1422dc5728980
15119c9dd3b39
hex95163bab94

640323136404 has 144 divisors (see below), whose sum is σ = 1876920304896. Its totient is φ = 180272332800.

The previous prime is 640323136373. The next prime is 640323136451. The reversal of 640323136404 is 404631323046.

640323136404 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 2 + 3 + 1 + 3 + 640 + 4 = 666.

640323136404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35721364 + ... + 35739284.

It is an arithmetic number, because the mean of its divisors is an integer number (13034168784).

Almost surely, 2640323136404 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 640323136404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938460152448).

640323136404 is an abundant number, since it is smaller than the sum of its proper divisors (1236597168492).

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

640323136404 is a wasteful number, since it uses less digits than its factorization.

640323136404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20006 (or 20001 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 640323136404 in words is "six hundred forty billion, three hundred twenty-three million, one hundred thirty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 1997 2556 2982 3994 4473 5964 5991 7988 8946 11982 13979 17892 17921 17973 23964 27958 35842 35946 41937 53763 55916 71684 71892 83874 107526 125447 125811 141787 161289 167748 215052 250894 251622 283574 322578 376341 425361 501788 503244 567148 645156 752682 850722 992509 1129023 1272391 1276083 1505364 1701444 1985018 2258046 2544782 2552166 2977527 3817173 3970036 4516092 5089564 5104332 5955054 7634346 8906737 8932581 11451519 11910108 15268692 17813474 17865162 22903038 26720211 35626948 35730324 35788237 45806076 53440422 71576474 80160633 106880844 107364711 143152948 160321266 214729422 250517659 320642532 322094133 429458844 501035318 644188266 751552977 1002070636 1288376532 1503105954 2254658931 2540964827 3006211908 4509317862 5081929654 7622894481 9018635724 10163859308 15245788962 17786753789 22868683443 30491577924 35573507578 45737366886 53360261367 71147015156 91474733772 106720522734 160080784101 213441045468 320161568202 640323136404