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244060089624 = 233213499522541
BaseRepresentation
bin1110001101001100011…
…1010110110100011000
3212022221222010010220200
43203103013112310120
512444313340331444
6304041502422200
723430015350541
oct3432307266430
9768858103820
10244060089624
119456161570a
123b373291960
131a0265a1b20
14bb539a54c8
156536600969
hex38d31d6d18

244060089624 has 96 divisors (see below), whose sum is σ = 713269830000. Its totient is φ = 74944776960.

The previous prime is 244060089583. The next prime is 244060089653. The reversal of 244060089624 is 426980060442.

244060089624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2440600896242 (a number of 24 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 244060089624.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 205794 + ... + 728334.

Almost surely, 2244060089624 is an apocalyptic number.

244060089624 is a gapful number since it is divisible by the number (24) 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 244060089624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356634915000).

244060089624 is an abundant number, since it is smaller than the sum of its proper divisors (469209740376).

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

244060089624 is a wasteful number, since it uses less digits than its factorization.

244060089624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523065 (or 523058 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 244060089624 in words is "two hundred forty-four billion, sixty million, eighty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 499 936 998 1497 1996 2994 3992 4491 5988 6487 8982 11976 12974 17964 19461 25948 35928 38922 51896 58383 77844 116766 155688 233532 467064 522541 1045082 1567623 2090164 3135246 4180328 4702869 6270492 6793033 9405738 12540984 13586066 18811476 20379099 27172132 37622952 40758198 54344264 61137297 81516396 122274594 163032792 244549188 260747959 489098376 521495918 782243877 1042991836 1564487754 2085983672 2346731631 3128975508 3389723467 4693463262 6257951016 6779446934 9386926524 10169170401 13558893868 18773853048 20338340802 27117787736 30507511203 40676681604 61015022406 81353363208 122030044812 244060089624