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23970149280 = 25325721189347
BaseRepresentation
bin10110010100101110…
…110111001110100000
32021212112001202012200
4112110232313032200
5343042324234110
615002311253200
71506000623100
oct262456671640
967775052180
1023970149280
11a190584a30
12478b67a200
1323500772ac
1412356a9200
159545966c0
hex594bb73a0

23970149280 has 864 divisors, whose sum is σ = 105272032320. Its totient is φ = 4910653440.

The previous prime is 23970149279. The next prime is 23970149297. The reversal of 23970149280 is 8294107932.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69078067 + ... + 69078413.

It is an arithmetic number, because the mean of its divisors is an integer number (121842630).

Almost surely, 223970149280 is an apocalyptic number.

23970149280 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 23970149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52636016160).

23970149280 is an abundant number, since it is smaller than the sum of its proper divisors (81301883040).

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

23970149280 is a wasteful number, since it uses less digits than its factorization.

23970149280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 23970149280 in words is "twenty-three billion, nine hundred seventy million, one hundred forty-nine thousand, two hundred eighty".