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23012456384 = 264171149829
BaseRepresentation
bin10101011011101001…
…100011011111000000
32012101202222220112102
4111123221203133000
5334112142101014
614323300445532
71443161436401
oct253351433700
965352886472
1023012456384
119839a280a5
1245629a98a8
132229830ac8
1411844119a8
158ea4708de
hex55ba637c0

23012456384 has 112 divisors (see below), whose sum is σ = 47813976000. Its totient is φ = 10979942400.

The previous prime is 23012456359. The next prime is 23012456387. The reversal of 23012456384 is 48365421032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012456387) 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, 27758882 + ... + 27759710.

It is an arithmetic number, because the mean of its divisors is an integer number (426910500).

Almost surely, 223012456384 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 23012456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23906988000).

23012456384 is an abundant number, since it is smaller than the sum of its proper divisors (24801519616).

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

23012456384 is a wasteful number, since it uses less digits than its factorization.

23012456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 23012456384 in words is "twenty-three billion, twelve million, four hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 71 82 142 149 164 284 298 328 568 596 656 829 1136 1192 1312 1658 2272 2384 2624 2911 3316 4544 4768 5822 6109 6632 9536 10579 11644 12218 13264 21158 23288 24436 26528 33989 42316 46576 48872 53056 58859 67978 84632 93152 97744 117718 123521 135956 169264 186304 195488 235436 247042 271912 338528 390976 433739 470872 494084 543824 677056 867478 941744 988168 1087648 1734956 1883488 1976336 2175296 2413219 3469912 3766976 3952672 4826438 5064361 6939824 7905344 8769991 9652876 10128722 13879648 17539982 19305752 20257444 27759296 35079964 38611504 40514888 70159928 77223008 81029776 140319856 154446016 162059552 280639712 324119104 359569631 561279424 719139262 1438278524 2876557048 5753114096 11506228192 23012456384