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87309442107635 = 51153773279113883
BaseRepresentation
bin10011110110100001010000…
…010010000100100011110011
3102110010200221010201210102112
4103312201100102010203303
542420434214134421020
6505405223132235535
724250620236652626
oct2366412022044363
9373120833653375
1087309442107635
11259017a9a0aa20
1299611a360bbab
133994325531c87
14177bb29d49dbd
15a161bb7032c5
hex4f68504848f3

87309442107635 has 64 divisors (see below), whose sum is σ = 116653355559936. Its totient is φ = 62192337292800.

The previous prime is 87309442107619. The next prime is 87309442107653. The reversal of 87309442107635 is 53670124490378.

It is not a de Polignac number, because 87309442107635 - 24 = 87309442107619 is a prime.

It is a super-2 number, since 2×873094421076352 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6288939404 + ... + 6288953286.

It is an arithmetic number, because the mean of its divisors is an integer number (1822708680624).

It is a 1-persistent number, because it is pandigital, but 2⋅87309442107635 = 174618884215270 is not.

Almost surely, 287309442107635 is an apocalyptic number.

87309442107635 is a deficient number, since it is larger than the sum of its proper divisors (29343913452301).

87309442107635 is a wasteful number, since it uses less digits than its factorization.

87309442107635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516.

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 87309442107635 in words is "eighty-seven trillion, three hundred nine billion, four hundred forty-two million, one hundred seven thousand, six hundred thirty-five".

Divisors: 1 5 11 53 55 265 583 773 2791 2915 3865 8503 13883 13955 30701 40969 42515 69415 147923 152713 153505 204845 450659 735799 739615 763565 1627153 2157443 2253295 3678995 8093789 8135765 10731559 10787215 23731873 38747453 40468945 53657795 114344479 118047149 118659365 193737265 426221983 568772627 571722395 590235745 1257789269 2053615009 2131109915 2843863135 6256498897 6288946345 10268075045 22589765099 29951781169 31282494485 112948825495 149758905845 329469592859 1587444401957 1647347964295 7937222009785 17461888421527 87309442107635