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23834461380 = 22351724196959
BaseRepresentation
bin10110001100101001…
…010000010011000100
32021112001202002101220
4112030221100103010
5342303110231010
614541023120340
71502432402412
oct261451202304
967461662356
1023834461380
11a120a28674
1247521430b0
13232ac198b2
1412216682b2
159476e2970
hex58ca504c4

23834461380 has 96 divisors (see below), whose sum is σ = 70956103680. Its totient is φ = 5957099520.

The previous prime is 23834461361. The next prime is 23834461481. The reversal of 23834461380 is 8316443832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197341 + ... + 294299.

It is an arithmetic number, because the mean of its divisors is an integer number (739126080).

Almost surely, 223834461380 is an apocalyptic number.

23834461380 is a gapful number since it is divisible by the number (20) 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 23834461380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35478051840).

23834461380 is an abundant number, since it is smaller than the sum of its proper divisors (47121642300).

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

23834461380 is a wasteful number, since it uses less digits than its factorization.

23834461380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97229 (or 97227 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 23834461380 in words is "twenty-three billion, eight hundred thirty-four million, four hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 241 255 340 482 510 723 964 1020 1205 1446 2410 2892 3615 4097 4820 7230 8194 12291 14460 16388 20485 24582 40970 49164 61455 81940 96959 122910 193918 245820 290877 387836 484795 581754 969590 1163508 1454385 1648303 1939180 2908770 3296606 4944909 5817540 6593212 8241515 9889818 16483030 19779636 23367119 24724545 32966060 46734238 49449090 70101357 93468476 98898180 116835595 140202714 233671190 280405428 350506785 397241023 467342380 701013570 794482046 1191723069 1402027140 1588964092 1986205115 2383446138 3972410230 4766892276 5958615345 7944820460 11917230690 23834461380