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42943698720 = 2536513127223
BaseRepresentation
bin100111111111101001…
…001101011100100000
311002211211010221000000
4213333221031130200
51200422041324340
631421132300000
73050120262546
oct477751153440
9132754127000
1042943698720
11172376644aa
1283a5911600
134084bb3520
142115519d96
1511b5158d30
hex9ffa4d720

42943698720 has 672 divisors, whose sum is σ = 165843320832. Its totient is φ = 10440493056.

The previous prime is 42943698703. The next prime is 42943698727. The reversal of 42943698720 is 2789634924.

It is a super-2 number, since 2×429436987202 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42943698727) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 192572529 + ... + 192572751.

It is an arithmetic number, because the mean of its divisors is an integer number (246790656).

Almost surely, 242943698720 is an apocalyptic number.

42943698720 is a gapful number since it is divisible by the number (40) 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 42943698720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82921660416).

42943698720 is an abundant number, since it is smaller than the sum of its proper divisors (122899622112).

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

42943698720 is a wasteful number, since it uses less digits than its factorization.

42943698720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42943698720 in words is "forty-two billion, nine hundred forty-three million, six hundred ninety-eight thousand, seven hundred twenty".