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648613641384 = 233217950326943
BaseRepresentation
bin10010111000001000110…
…00101011110010101000
32022000011222222220121200
421130010120223302220
541111330043011014
61213545145204200
764601151661632
oct11340430536250
92260158886550
10648613641384
11230091544925
12a5857490660
1349219416897
1423570813a52
1511d12b64a09
hex970462bca8

648613641384 has 48 divisors (see below), whose sum is σ = 1766475734400. Its totient is φ = 214996696224.

The previous prime is 648613641373. The next prime is 648613641397. The reversal of 648613641384 is 483146316846.

648613641384 is a `hidden beast` number, since 6 + 4 + 8 + 613 + 6 + 4 + 13 + 8 + 4 = 666.

It is a super-3 number, since 3×6486136413843 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 648613641384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25150584 + ... + 25176359.

It is an arithmetic number, because the mean of its divisors is an integer number (36801577800).

Almost surely, 2648613641384 is an apocalyptic number.

It is an amenable number.

648613641384 is an abundant number, since it is smaller than the sum of its proper divisors (1117862093016).

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

648613641384 is a wasteful number, since it uses less digits than its factorization.

648613641384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50327134 (or 50327127 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 648613641384 in words is "six hundred forty-eight billion, six hundred thirteen million, six hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 2148 3222 4296 6444 12888 50326943 100653886 150980829 201307772 301961658 402615544 452942487 603923316 905884974 1207846632 1811769948 3623539896 9008522797 18017045594 27025568391 36034091188 54051136782 72068182376 81076705173 108102273564 162153410346 216204547128 324306820692 648613641384