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641661312 = 27319312837
BaseRepresentation
bin100110001111101…
…111100110000000
31122201101202211210
4212033233212000
52303231130222
6143401010120
721621013455
oct4617574600
91581352753
10641661312
112aa223706
1215aa83940
13a2c24666
146130d82c
153b4ebd0c
hex263ef980

641661312 has 128 divisors (see below), whose sum is σ = 1852646400. Its totient is φ = 196024320.

The previous prime is 641661299. The next prime is 641661329. The reversal of 641661312 is 213166146.

641661312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6416613122 = 823458478635122688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 641661312.

It is a congruent number.

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, 224758 + ... + 227594.

It is an arithmetic number, because the mean of its divisors is an integer number (14473800).

Almost surely, 2641661312 is an apocalyptic number.

641661312 is a gapful number since it is divisible by the number (62) 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 641661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926323200).

641661312 is an abundant number, since it is smaller than the sum of its proper divisors (1210985088).

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

641661312 is a wasteful number, since it uses less digits than its factorization.

641661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2892 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 641661312 is about 25331.0345623703. The cubic root of 641661312 is about 862.5188959523.

The spelling of 641661312 in words is "six hundred forty-one million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 304 372 384 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2837 2976 3534 3648 3968 4712 5674 5952 7068 7296 8511 9424 11348 11904 14136 17022 18848 22696 28272 34044 37696 45392 53903 56544 68088 75392 87947 90784 107806 113088 136176 161709 175894 181568 215612 226176 263841 272352 323418 351788 363136 431224 527682 544704 646836 703576 862448 1055364 1089408 1293672 1407152 1670993 1724896 2110728 2587344 2814304 3341986 3449792 4221456 5012979 5174688 5628608 6683972 6899584 8442912 10025958 10349376 11257216 13367944 16885824 20051916 20698752 26735888 33771648 40103832 53471776 80207664 106943552 160415328 213887104 320830656 641661312