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2151113565468 = 2237733137111827
BaseRepresentation
bin11111010011011000010…
…111000010010100011100
321121122101210200100111010
4133103120113002110130
5240220440033043333
64324112525055220
7311261412421620
oct37233027022434
97548353610433
102151113565468
1175a31158a17a
122a8a976b7510
13127b06733bba
14761860b1180
153ae4e722563
hex1f4d85c251c

2151113565468 has 96 divisors (see below), whose sum is σ = 5816787992064. Its totient is φ = 605985988608.

The previous prime is 2151113565401. The next prime is 2151113565509. The reversal of 2151113565468 is 8645653111512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19180171 + ... + 19291997.

It is an arithmetic number, because the mean of its divisors is an integer number (60591541584).

Almost surely, 22151113565468 is an apocalyptic number.

2151113565468 is a gapful number since it is divisible by the number (28) 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 2151113565468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908393996032).

2151113565468 is an abundant number, since it is smaller than the sum of its proper divisors (3665674426596).

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

2151113565468 is a wasteful number, since it uses less digits than its factorization.

2151113565468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115051 (or 115049 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The spelling of 2151113565468 in words is "two trillion, one hundred fifty-one billion, one hundred thirteen million, five hundred sixty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 3137 6132 6274 9411 12548 18822 21959 37644 43918 65877 87836 111827 131754 223654 229001 263508 335481 447308 458002 670962 687003 782789 916004 1341924 1374006 1565578 1603007 2348367 2748012 3131156 3206014 4696734 4809021 6412028 8163371 9393468 9618042 16326742 19236084 24490113 32653484 48980226 57143597 97960452 114287194 171430791 228574388 342861582 350801299 685723164 701602598 1052403897 1403205196 2104807794 2455609093 4209615588 4911218186 7366827279 9822436372 14733654558 25608494827 29467309116 51216989654 76825484481 102433979308 153650968962 179259463789 307301937924 358518927578 537778391367 717037855156 1075556782734 2151113565468