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16281642816684 = 22327296101365173
BaseRepresentation
bin1110110011101101110110…
…0010010101010010101100
32010122111202200102022001100
43230323131202111102230
54113224301030113214
654343403343043100
73300211200323220
oct354733542252254
963574680368040
1016281642816684
1152080079aa193
1219ab5a92a0490
139114770b696b
14404070016780
151d37c9b79309
hexecedd8954ac

16281642816684 has 144 divisors (see below), whose sum is σ = 48665891776320. Its totient is φ = 4490739187200.

The previous prime is 16281642816661. The next prime is 16281642816701. The reversal of 16281642816684 is 48661824618261.

It is a happy number.

16281642816684 is a `hidden beast` number, since 1 + 62 + 8 + 16 + 428 + 1 + 66 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44403522 + ... + 44768694.

It is an arithmetic number, because the mean of its divisors is an integer number (337957581780).

Almost surely, 216281642816684 is an apocalyptic number.

16281642816684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16281642816684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332945888160).

16281642816684 is an abundant number, since it is smaller than the sum of its proper divisors (32384248959636).

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

16281642816684 is a wasteful number, since it uses less digits than its factorization.

16281642816684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371320 (or 371315 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 16281642816684 in words is "sixteen trillion, two hundred eighty-one billion, six hundred forty-two million, eight hundred sixteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 6101 7308 12202 18303 24404 36606 42707 54909 73212 85414 109818 128121 170828 176929 219636 256242 353858 365173 384363 512484 530787 707716 730346 768726 1061574 1095519 1238503 1460692 1537452 1592361 2123148 2191038 2477006 2556211 3184722 3286557 3715509 4382076 4954012 5112422 6369444 6573114 7431018 7668633 10224844 10590017 11146527 13146228 14862036 15337266 21180034 22293054 23005899 30674532 31770051 42360068 44586108 46011798 63540102 74130119 92023596 95310153 127080204 148260238 190620306 222390357 296520476 381240612 444780714 667171071 889561428 1334342142 2227920473 2668684284 4455840946 6683761419 8911681892 13367522838 15595443311 20051284257 26735045676 31190886622 40102568514 46786329933 62381773244 64609693717 80205137028 93572659866 129219387434 140358989799 187145319732 193829081151 258438774868 280717979598 387658162302 452267856019 561435959196 581487243453 775316324604 904535712038 1162974486906 1356803568057 1809071424076 2325948973812 2713607136114 4070410704171 5427214272228 8140821408342 16281642816684