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641545346466 = 233371289249103
BaseRepresentation
bin10010101010111110001…
…01010001110110100010
32021022221101202022211000
421111133011101312202
541002341102041331
61210415531132430
764231043320053
oct11253705216642
92238841668730
10641545346466
11228094694282
12a44042a4116
1348660c1b25b
142309db9a72a
1511a4c35a0e6
hex955f151da2

641545346466 has 64 divisors (see below), whose sum is σ = 1465329369600. Its totient is φ = 207906507648.

The previous prime is 641545346461. The next prime is 641545346479. The reversal of 641545346466 is 664643545146.

641545346466 is a `hidden beast` number, since 6 + 4 + 1 + 545 + 34 + 6 + 4 + 66 = 666.

641545346466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (641545346461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450871 + ... + 2699973.

It is an arithmetic number, because the mean of its divisors is an integer number (22895771400).

Almost surely, 2641545346466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641545346466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732664684800).

641545346466 is an abundant number, since it is smaller than the sum of its proper divisors (823784023134).

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

641545346466 is a wasteful number, since it uses less digits than its factorization.

641545346466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250440 (or 250434 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 641545346466 in words is "six hundred forty-one billion, five hundred forty-five million, three hundred forty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1289 1998 2578 3867 7734 11601 23202 34803 47693 69606 95386 143079 249103 286158 429237 498206 747309 858474 1287711 1494618 2241927 2575422 4483854 6725781 9216811 13451562 18433622 27650433 55300866 82951299 165902598 248853897 321093767 497707794 642187534 963281301 1926562602 2889843903 5779687806 8669531709 11880469379 17339063418 23760938758 35641408137 71282816274 106924224411 213848448822 320772673233 641545346466