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641894965440 = 2635823812443
BaseRepresentation
bin10010101011100111110…
…10111110000011000000
32021100211202121210212220
421111303322332003000
541004100102343230
61210514340451040
764242520116261
oct11256372760300
92240752553786
10641894965440
11228253a79183
12a44a13a9a80
13486b849cba1
14230d43a8968
1511a6cdbad10
hex9573ebe0c0

641894965440 has 112 divisors (see below), whose sum is σ = 2040495353088. Its totient is φ = 170963794944.

The previous prime is 641894965429. The next prime is 641894965499. The reversal of 641894965440 is 44569498146.

641894965440 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 (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383859 + ... + 1196301.

Almost surely, 2641894965440 is an apocalyptic number.

641894965440 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 641894965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020247676544).

641894965440 is an abundant number, since it is smaller than the sum of its proper divisors (1398600387648).

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

641894965440 is a wasteful number, since it uses less digits than its factorization.

641894965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813286 (or 813276 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 641894965440 in words is "six hundred forty-one billion, eight hundred ninety-four million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 823 960 1646 2469 3292 4115 4938 6584 8230 9876 12345 13168 16460 19752 24690 26336 32920 39504 49380 52672 65840 79008 98760 131680 158016 197520 263360 395040 790080 812443 1624886 2437329 3249772 4062215 4874658 6499544 8124430 9749316 12186645 12999088 16248860 19498632 24373290 25998176 32497720 38997264 48746580 51996352 64995440 77994528 97493160 129990880 155989056 194986320 259981760 389972640 668640589 779945280 1337281178 2005921767 2674562356 3343202945 4011843534 5349124712 6686405890 8023687068 10029608835 10698249424 13372811780 16047374136 20059217670 21396498848 26745623560 32094748272 40118435340 42792997696 53491247120 64189496544 80236870680 106982494240 128378993088 160473741360 213964988480 320947482720 641894965440