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9781000640496 = 2432113988360821
BaseRepresentation
bin1000111001010101000100…
…0100011001011111110000
31021122001110202022002210100
42032111101010121133300
52240222442130443441
632445155112432400
72026440212452521
oct216252104313760
937561422262710
109781000640496
11313110a964918
12111b7593a8700
1355c4628642b7
1425b58d9dc848
1511e65da0dcb6
hex8e5511197f0

9781000640496 has 120 divisors (see below), whose sum is σ = 27618706258416. Its totient is φ = 3231100938240.

The previous prime is 9781000640491. The next prime is 9781000640497. The reversal of 9781000640496 is 6940460001879.

9781000640496 is a `hidden beast` number, since 9 + 7 + 8 + 100 + 0 + 6 + 40 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9781000640491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160785766 + ... + 160846586.

Almost surely, 29781000640496 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 9781000640496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809353129208).

9781000640496 is an abundant number, since it is smaller than the sum of its proper divisors (17837705617920).

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

9781000640496 is a wasteful number, since it uses less digits than its factorization.

9781000640496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70831 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9781000640496 in words is "nine trillion, seven hundred eighty-one billion, six hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 9883 16272 19766 29649 39532 59298 60821 79064 88947 118596 121642 158128 177894 182463 237192 243284 355788 364926 474384 486568 547389 711576 729852 973136 1094778 1116779 1423152 1459704 2189556 2233558 2919408 3350337 4379112 4467116 6700674 6872773 8758224 8934232 10051011 13401348 13745546 17868464 20102022 20618319 26802696 27491092 40204044 41236638 53605392 54982184 61854957 80408088 82473276 109964368 123709914 160816176 164946552 247419828 329893104 494839656 601093943 989679312 1202187886 1803281829 2404375772 3606563658 4808751544 5409845487 7213127316 9617503088 10819690974 14426254632 21639381948 28852509264 43278763896 67923615559 86557527792 135847231118 203770846677 271694462236 407541693354 543388924472 611312540031 815083386708 1086777848944 1222625080062 1630166773416 2445250160124 3260333546832 4890500320248 9781000640496