Search a number
-
+
638011636900 = 2252111015742679
BaseRepresentation
bin10010100100011000111…
…01001111110010100100
32020222211010110021120221
421102030131033302210
540423121434340100
61205033135334124
764044344301601
oct11221435176244
92228733407527
10638011636900
11226640a32a50
12a3798981344
1348219aab351
1422c467456a8
15118e1ee001a
hex948c74fca4

638011636900 has 72 divisors (see below), whose sum is σ = 1525301749440. Its totient is φ = 229707120000.

The previous prime is 638011636849. The next prime is 638011636931. The reversal of 638011636900 is 9636110836.

It is a super-2 number, since 2×6380116369002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2760240 + ... + 2982439.

It is an arithmetic number, because the mean of its divisors is an integer number (21184746520).

Almost surely, 2638011636900 is an apocalyptic number.

It is an amenable number.

638011636900 is an abundant number, since it is smaller than the sum of its proper divisors (887290112540).

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

638011636900 is a wasteful number, since it uses less digits than its factorization.

638011636900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742805 (or 5742798 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 638011636900 in words is "six hundred thirty-eight billion, eleven million, six hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 5742679 11485358 22970716 28713395 57426790 63169469 114853580 126338938 143566975 252677876 287133950 315847345 574267900 580010579 631694690 1160021158 1263389380 1579236725 2320042316 2900052895 3158473450 5800105790 6316946900 6380116369 11600211580 12760232738 14500264475 25520465476 29000528950 31900581845 58001057900 63801163690 127602327380 159502909225 319005818450 638011636900