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623430114601152 = 26331120275150773
BaseRepresentation
bin1000110111000000011010001…
…0100001011110100011000000
310000202101100002121010120102010
42031300012202201132203000
51123203234333314214102
610045531501342452520
7245213224262323155
oct21560064241364300
93022340077116363
10623430114601152
1117070a2549a2681
1259b08b23b94140
13209b3290caa3c1
14add426dd0222c
154c11cabda5d6c
hex23701a285e8c0

623430114601152 has 112 divisors (see below), whose sum is σ = 1655612709933312. Its totient is φ = 207039607188480.

The previous prime is 623430114601057. The next prime is 623430114601211. The reversal of 623430114601152 is 251106411034326.

It is a super-2 number, since 2×6234301146011522 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 623430114601152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118460838 + ... + 123611610.

Almost surely, 2623430114601152 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 623430114601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827806354966656).

623430114601152 is an abundant number, since it is smaller than the sum of its proper divisors (1032182595332160).

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

623430114601152 is a wasteful number, since it uses less digits than its factorization.

623430114601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153126 (or 5153116 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 623430114601152 its reverse (251106411034326), we get a palindrome (874536525635478).

The spelling of 623430114601152 in words is "six hundred twenty-three trillion, four hundred thirty billion, one hundred fourteen million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1244 1866 2027 2488 3732 4054 4976 6081 7464 8108 9952 12162 14928 16216 19904 24324 29856 32432 48648 59712 64864 97296 129728 194592 389184 630397 1260794 1891191 2521588 3782382 5043176 5150773 7564764 10086352 10301546 15129528 15452319 20172704 20603092 30259056 30904638 40345408 41206184 60518112 61809276 82412368 121036224 123618552 164824736 247237104 329649472 494474208 988948416 1601890403 3203780806 4805671209 6407561612 9611342418 10440616871 12815123224 19222684836 20881233742 25630246448 31321850613 38445369672 41762467484 51260492896 62643701226 76890739344 83524934968 102520985792 125287402452 153781478688 167049869936 250574804904 307562957376 334099739872 501149609808 668199479744 1002299219616 2004598439232 3247031846881 6494063693762 9741095540643 12988127387524 19482191081286 25976254775048 38964382162572 51952509550096 77928764325144 103905019100192 155857528650288 207810038200384 311715057300576 623430114601152