Search a number
-
+
645868961496 = 2333111312075041
BaseRepresentation
bin10010110011000001100…
…10100011111011011000
32021202002201101201122000
421121200302203323120
541040214423231441
61212412541201000
764443143406513
oct11314062437330
92252081351560
10645868961496
11229a03211240
12a5210260160
1348b9c8b8445
14233900add7a
1511c01c062b6
hex9660ca3ed8

645868961496 has 128 divisors (see below), whose sum is σ = 1972119916800. Its totient is φ = 194223744000.

The previous prime is 645868961461. The next prime is 645868961537. The reversal of 645868961496 is 694169868546.

645868961496 is a `hidden beast` number, since 6 + 4 + 58 + 6 + 89 + 6 + 1 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 726265 + ... + 1348776.

It is an arithmetic number, because the mean of its divisors is an integer number (15407186850).

Almost surely, 2645868961496 is an apocalyptic number.

645868961496 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

645868961496 is an abundant number, since it is smaller than the sum of its proper divisors (1326250955304).

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

645868961496 is a wasteful number, since it uses less digits than its factorization.

645868961496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075198 (or 2075188 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 645868961496 in words is "six hundred forty-five billion, eight hundred sixty-eight million, nine hundred sixty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 131 132 198 216 262 264 297 393 396 524 594 786 792 1048 1179 1188 1441 1572 2358 2376 2882 3144 3537 4323 4716 5764 7074 8646 9432 11528 12969 14148 17292 25938 28296 34584 38907 51876 77814 103752 155628 311256 2075041 4150082 6225123 8300164 12450246 16600328 18675369 22825451 24900492 37350738 45650902 49800984 56026107 68476353 74701476 91301804 112052214 136952706 149402952 182603608 205429059 224104428 271830371 273905412 410858118 448208856 543660742 547810824 616287177 815491113 821716236 1087321484 1232574354 1630982226 1643432472 2174642968 2446473339 2465148708 2990134081 3261964452 4892946678 4930297416 5980268162 6523928904 7339420017 8970402243 9785893356 11960536324 14678840034 17940804486 19571786712 23921072648 26911206729 29357680068 35881608972 53822413458 58715360136 71763217944 80733620187 107644826916 161467240374 215289653832 322934480748 645868961496