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642442510414 = 219432517332137
BaseRepresentation
bin10010101100101001000…
…11101100000001001110
32021102020220220222101101
421112110203230001032
541011210240313124
61211044540333314
764262216144305
oct11262443540116
92242226828341
10642442510414
11228505059891
12a461484423a
1348774a60ab3
1423146db943c
1511aa0ec6644
hex95948ec04e

642442510414 has 64 divisors (see below), whose sum is σ = 1044018581760. Its totient is φ = 295511328000.

The previous prime is 642442510393. The next prime is 642442510417. The reversal of 642442510414 is 414015244246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642442510417) 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 31 ways as a sum of consecutive naturals, for example, 300627154 + ... + 300629290.

It is an arithmetic number, because the mean of its divisors is an integer number (16312790340).

Almost surely, 2642442510414 is an apocalyptic number.

642442510414 is a deficient number, since it is larger than the sum of its proper divisors (401576071346).

642442510414 is a wasteful number, since it uses less digits than its factorization.

642442510414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185.

The product of its (nonzero) digits is 122880, while the sum is 37.

The spelling of 642442510414 in words is "six hundred forty-two billion, four hundred forty-two million, five hundred ten thousand, four hundred fourteen".

Divisors: 1 2 19 38 43 86 251 502 733 817 1466 1634 2137 4274 4769 9538 10793 13927 21586 27854 31519 40603 63038 81206 91891 183782 183983 205067 367966 410134 536387 598861 1072774 1197722 1566421 1745929 3132842 3491858 3495677 6991354 7911269 10191353 15822538 20382706 23064641 29761999 46129282 59523998 67356103 134712206 150314111 300628222 393171671 438228179 786343342 876456358 1279765957 2559531914 7470261749 14940523498 16906381853 33812763706 321221255207 642442510414