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23377734240 = 253574124139
BaseRepresentation
bin10101110001011010…
…111110101001100000
32020100020022221112220
4111301122332221200
5340334144443430
614423425551040
71455215314410
oct256132765140
966306287486
1023377734240
119a07137823
1246451a5480
132287405c53
1411bab38640
1591c576110
hex5716bea60

23377734240 has 288 divisors, whose sum is σ = 86283429120. Its totient is φ = 5211893760.

The previous prime is 23377734227. The next prime is 23377734257. The reversal of 23377734240 is 4243777332.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23377734192 and 23377734201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646091 + ... + 5650229.

It is an arithmetic number, because the mean of its divisors is an integer number (299595240).

Almost surely, 223377734240 is an apocalyptic number.

23377734240 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 23377734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43141714560).

23377734240 is an abundant number, since it is smaller than the sum of its proper divisors (62905694880).

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

23377734240 is a wasteful number, since it uses less digits than its factorization.

23377734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 42.

The spelling of 23377734240 in words is "twenty-three billion, three hundred seventy-seven million, seven hundred thirty-four thousand, two hundred forty".