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640324403631 = 341137611492137
BaseRepresentation
bin10010101000101100100…
…11110000000110101111
32021012210022100000010000
421110112103300012233
540442341021404011
61210054434115343
764155556425003
oct11242623600657
92235708300100
10640324403631
11227618483910
12a412341bb53
13484c7ca3483
1422dc5978703
15119ca084356
hex95164f01af

640324403631 has 160 divisors (see below), whose sum is σ = 1097086478400. Its totient is φ = 368731699200.

The previous prime is 640324403627. The next prime is 640324403671. The reversal of 640324403631 is 136304423046.

640324403631 is a `hidden beast` number, since 6 + 403 + 244 + 0 + 3 + 6 + 3 + 1 = 666.

It is not a de Polignac number, because 640324403631 - 22 = 640324403627 is a prime.

It is a super-2 number, since 2×6403244036312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640324403611) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 299635995 + ... + 299638131.

It is an arithmetic number, because the mean of its divisors is an integer number (6856790490).

Almost surely, 2640324403631 is an apocalyptic number.

640324403631 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

640324403631 is a deficient number, since it is larger than the sum of its proper divisors (456762074769).

640324403631 is a wasteful number, since it uses less digits than its factorization.

640324403631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

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

Adding to 640324403631 its reverse (136304423046), we get a palindrome (776628826677).

The spelling of 640324403631 in words is "six hundred forty billion, three hundred twenty-four million, four hundred three thousand, six hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 61 81 99 111 149 183 297 333 407 447 549 671 891 999 1221 1341 1639 1647 2013 2137 2257 2997 3663 4023 4917 4941 5513 6039 6411 6771 9089 10989 12069 14751 16539 18117 19233 20313 23507 24827 27267 32967 44253 49617 54351 57699 60643 60939 70521 74481 79069 81801 99979 130357 132759 148851 173097 181929 182817 211563 223443 237207 245403 299937 318413 336293 391071 446553 545787 634689 670329 711621 736209 869759 899811 955239 1008879 1173213 1433927 1637361 1904067 2010987 2134863 2609277 2699433 2865717 3026637 3502543 3519639 3699223 4301781 4823209 4912083 6404589 7827831 8098299 8597151 9079911 10507629 10558917 11097669 11781281 12905343 14469627 19423193 23483493 25791453 27239733 31522887 33293007 35343843 38716029 43408881 53055299 58269579 70450479 94568661 99879021 106031529 116148087 129594091 130226643 159165897 174808737 213655123 283705983 299637063 318094587 388782273 390679929 477497691 524426211 640965369 718658141 954283761 1166346819 1432493073 1573278633 1922896107 2155974423 3499040457 4297479219 5768688321 6467923269 7905239551 10497121371 17306064963 19403769807 23715718653 58211309421 71147155959 213441467877 640324403631