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24945223424 = 2811191912441
BaseRepresentation
bin10111001110110110…
…011110011100000000
32101101110211122110212
4113032312132130000
5402041434122144
615243142413252
71542110620622
oct271666363400
971343748425
1024945223424
11a640a23630
124a02131228
132477097c44
1412c8da8c12
159aeea249e
hex5ced9e700

24945223424 has 144 divisors (see below), whose sum is σ = 57501480960. Its totient is φ = 10681344000.

The previous prime is 24945223417. The next prime is 24945223427. The reversal of 24945223424 is 42432254942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24945223427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10218044 + ... + 10220484.

It is an arithmetic number, because the mean of its divisors is an integer number (399315840).

Almost surely, 224945223424 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 24945223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28750740480).

24945223424 is an abundant number, since it is smaller than the sum of its proper divisors (32556257536).

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

24945223424 is a wasteful number, since it uses less digits than its factorization.

24945223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2664 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

The spelling of 24945223424 in words is "twenty-four billion, nine hundred forty-five million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 191 209 256 304 352 382 418 608 704 764 836 1216 1408 1528 1672 2101 2432 2441 2816 3056 3344 3629 4202 4864 4882 6112 6688 7258 8404 9764 12224 13376 14516 16808 19528 24448 26752 26851 29032 33616 39056 39919 46379 48896 53504 53702 58064 67232 78112 79838 92758 107404 116128 134464 156224 159676 185516 214808 232256 268928 312448 319352 371032 429616 464512 466231 510169 537856 624896 638704 742064 859232 929024 932462 1020338 1277408 1484128 1718464 1864924 2040676 2554816 2968256 3436928 3729848 4081352 5109632 5128541 5936512 6873856 7459696 8162704 8858389 10219264 10257082 11873024 14919392 16325408 17716778 20514164 29838784 32650816 35433556 41028328 59677568 65301632 70867112 82056656 97442279 119355136 130603264 141734224 164113312 194884558 283468448 328226624 389769116 566936896 656453248 779538232 1133873792 1312906496 1559076464 2267747584 3118152928 6236305856 12472611712 24945223424