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23294747408 = 2429535091861
BaseRepresentation
bin10101101100011110…
…011010001100010000
32020010110011210000112
4111230132122030100
5340201423404113
614411303140452
71453160041322
oct255436321420
966113153015
1023294747408
119974306569
124621444728
13227316b20a
1411adad5612
159151325a8
hex56c79a310

23294747408 has 80 divisors (see below), whose sum is σ = 47689916400. Its totient is φ = 11005962240.

The previous prime is 23294747383. The next prime is 23294747449. The reversal of 23294747408 is 80474749232.

It can be written as a sum of positive squares in 8 ways, for example, as 150601984 + 23144145424 = 12272^2 + 152132^2 .

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, 12516398 + ... + 12518258.

It is an arithmetic number, because the mean of its divisors is an integer number (596123955).

Almost surely, 223294747408 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 23294747408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844958200).

23294747408 is an abundant number, since it is smaller than the sum of its proper divisors (24395168992).

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

23294747408 is a wasteful number, since it uses less digits than its factorization.

23294747408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 23294747408 in words is "twenty-three billion, two hundred ninety-four million, seven hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 509 848 1018 1537 1861 2036 3074 3722 4072 6148 7444 8144 12296 14761 14888 24592 26977 29522 29776 53954 53969 59044 98633 107908 107938 118088 197266 215816 215876 236176 394532 431632 431752 782333 789064 863504 947249 1564666 1578128 1894498 2860357 3129332 3788996 5720714 6258664 7577992 11441428 12517328 15155984 22882856 27470221 45765712 50204197 54940442 100408394 109880884 200816788 219761768 401633576 439523536 803267152 1455921713 2911843426 5823686852 11647373704 23294747408