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642254161264 = 24232960181237
BaseRepresentation
bin10010101100010010101…
…01001100010101110000
32021101202210111211220221
421112021111030111300
541010314031130024
61211014131342424
764254441203362
oct11261125142560
92241683454827
10642254161264
11228418804331
12a4581751a14
1348744a258b1
1423129d8ad32
1511a8e6be3e4
hex958954c570

642254161264 has 40 divisors (see below), whose sum is σ = 1343245232160. Its totient is φ = 296573131008.

The previous prime is 642254161261. The next prime is 642254161271. The reversal of 642254161264 is 462161452246.

It is a super-3 number, since 3×6422541612643 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642254161264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642254161261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30079947 + ... + 30101290.

It is an arithmetic number, because the mean of its divisors is an integer number (33581130804).

Almost surely, 2642254161264 is an apocalyptic number.

It is an amenable number.

642254161264 is an abundant number, since it is smaller than the sum of its proper divisors (700991070896).

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

642254161264 is a wasteful number, since it uses less digits than its factorization.

642254161264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60181297 (or 60181291 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The spelling of 642254161264 in words is "six hundred forty-two billion, two hundred fifty-four million, one hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 5336 10672 60181237 120362474 240724948 481449896 962899792 1384168451 1745255873 2768336902 3490511746 5536673804 6981023492 11073347608 13962046984 22146695216 27924093968 40140885079 80281770158 160563540316 321127080632 642254161264