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638338754284 = 2272117924115551
BaseRepresentation
bin10010100100111111111…
…01000110011011101100
32021000122220222120021121
421102133331012123230
540424304210114114
61205125422510324
764055425612600
oct11223775063354
92230586876247
10638338754284
112267996490a0
12a386a4353a4
134826c7b202a
1422c77d77500
1511910aa8a24
hex949ff466ec

638338754284 has 144 divisors (see below), whose sum is σ = 1441603215360. Its totient is φ = 244520640000.

The previous prime is 638338754243. The next prime is 638338754303. The reversal of 638338754284 is 482457833836.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41040309 + ... + 41055859.

It is an arithmetic number, because the mean of its divisors is an integer number (10011133440).

Almost surely, 2638338754284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638338754284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720801607680).

638338754284 is an abundant number, since it is smaller than the sum of its proper divisors (803264461076).

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

638338754284 is a wasteful number, since it uses less digits than its factorization.

638338754284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15900 (or 15891 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 61.

The spelling of 638338754284 in words is "six hundred thirty-eight billion, three hundred thirty-eight million, seven hundred fifty-four thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 79 98 154 158 196 241 308 316 482 539 553 869 964 1078 1106 1687 1738 2156 2212 2651 3374 3476 3871 5302 6083 6748 7742 10604 11809 12166 15484 15551 18557 19039 23618 24332 31102 37114 38078 42581 47236 62204 74228 76156 85162 108857 129899 133273 170324 171061 209429 217714 259798 266546 342122 418858 435428 519596 533092 684244 761999 837716 932911 1197427 1228529 1466003 1523998 1865822 2394854 2457058 2932006 3047996 3731644 3747791 4789708 4914116 5864012 7495582 8381989 8599703 10262021 13513819 14991164 16763978 17199406 20524042 26234537 27027638 33527956 34398812 41048084 41225701 52469074 54055276 60197921 82451402 94596733 104938148 120395842 164902804 183641759 189193466 240791684 288579907 296075489 367283518 378386932 577159814 592150978 662177131 734567036 1154319628 1184301956 1324354262 2020059349 2072528423 2648708524 3256830379 4040118698 4145056846 6513660758 8080237396 8290113692 13027321516 14507698961 22797812653 29015397922 45595625306 58030795844 91191250612 159584688571 319169377142 638338754284