Search a number
-
+
23054643456 = 283133174489
BaseRepresentation
bin10101011110001010…
…011111000100000000
32012111201101020022120
4111132022133010000
5334203442042311
614331405004240
71444213143645
oct253612370400
965451336276
1023054643456
119860821949
124574b53680
1322354b1c80
141189c73dcc
158ee005706
hex55e29f100

23054643456 has 144 divisors (see below), whose sum is σ = 68211386880. Its totient is φ = 6864814080.

The previous prime is 23054643433. The next prime is 23054643509. The reversal of 23054643456 is 65434645032.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272260 + ... + 346748.

Almost surely, 223054643456 is an apocalyptic number.

23054643456 is a gapful number since it is divisible by the number (26) 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 23054643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105693440).

23054643456 is an abundant number, since it is smaller than the sum of its proper divisors (45156743424).

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

23054643456 is a wasteful number, since it uses less digits than its factorization.

23054643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74552 (or 74538 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 23054643456 in words is "twenty-three billion, fifty-four million, six hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 624 744 768 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3328 3968 4836 4992 5952 6448 7936 9672 9984 11904 12896 19344 23808 25792 38688 51584 74489 77376 103168 148978 154752 223467 297956 309504 446934 595912 893868 968357 1191824 1787736 1936714 2309159 2383648 2905071 3575472 3873428 4618318 4767296 5810142 6927477 7150944 7746856 9236636 9534592 11620284 13854954 14301888 15493712 18473272 19069184 23240568 27709908 28603776 30019067 30987424 36946544 46481136 55419816 57207552 60038134 61974848 73893088 90057201 92962272 110839632 120076268 123949696 147786176 180114402 185924544 221679264 240152536 247899392 295572352 360228804 371849088 443358528 480305072 591144704 720457608 743698176 886717056 960610144 1440915216 1773434112 1921220288 2881830432 3842440576 5763660864 7684881152 11527321728 23054643456