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23434266336 = 25313138113597
BaseRepresentation
bin10101110100110010…
…101000011011100000
32020111011201002000020
4111310302220123200
5340443133010321
614433205353440
71456502656125
oct256462503340
966434632006
1023434266336
119a3603a168
124660108880
13229603a5b0
1411c445274c
159224e14c6
hex574ca86e0

23434266336 has 96 divisors (see below), whose sum is σ = 66299714208. Its totient is φ = 7204792320.

The previous prime is 23434266287. The next prime is 23434266337. The reversal of 23434266336 is 63366243432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434266337) 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, 1716690 + ... + 1730286.

It is an arithmetic number, because the mean of its divisors is an integer number (690622023).

Almost surely, 223434266336 is an apocalyptic number.

23434266336 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 23434266336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149857104).

23434266336 is an abundant number, since it is smaller than the sum of its proper divisors (42865447872).

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

23434266336 is a wasteful number, since it uses less digits than its factorization.

23434266336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 14996 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 23434266336 in words is "twenty-three billion, four hundred thirty-four million, two hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1381 2762 4143 5524 8286 11048 13597 16572 17953 22096 27194 33144 35906 40791 44192 53859 54388 66288 71812 81582 107718 108776 132576 143624 163164 176761 215436 217552 287248 326328 353522 430872 435104 530283 574496 652656 707044 861744 1060566 1305312 1414088 1723488 2121132 2828176 4242264 5656352 8484528 16969056 18777457 37554914 56332371 75109828 112664742 150219656 225329484 244106941 300439312 450658968 488213882 600878624 732320823 901317936 976427764 1464641646 1802635872 1952855528 2929283292 3905711056 5858566584 7811422112 11717133168 23434266336