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24445990336 = 2629103127877
BaseRepresentation
bin10110110001000110…
…000011010111000000
32100002200102222102111
4112301012003113000
5400031133142321
615121430225104
71523536326565
oct266106032700
970080388374
1024445990336
11a4051403a9
1248a2ab5194
1323c7820c51
14127c97286c
1598123b5e1
hex5b11835c0

24445990336 has 56 divisors (see below), whose sum is σ = 50670378720. Its totient is φ = 11686843392.

The previous prime is 24445990313. The next prime is 24445990337. The reversal of 24445990336 is 63309954442.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 24445990336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24445990337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127230 + ... + 255106.

Almost surely, 224445990336 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 24445990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25335189360).

24445990336 is an abundant number, since it is smaller than the sum of its proper divisors (26224388384).

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

24445990336 is a wasteful number, since it uses less digits than its factorization.

24445990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128021 (or 128011 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 24445990336 in words is "twenty-four billion, four hundred forty-five million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 206 232 412 464 824 928 1648 1856 2987 3296 5974 6592 11948 23896 47792 95584 127877 191168 255754 511508 1023016 2046032 3708433 4092064 7416866 8184128 13171331 14833732 26342662 29667464 52685324 59334928 105370648 118669856 210741296 237339712 381968599 421482592 763937198 842965184 1527874396 3055748792 6111497584 12222995168 24445990336