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4942262392320 = 293511194916271
BaseRepresentation
bin100011111101011010111…
…0010110101011000000000
3122111110211202121202111010
41013322311302311120000
51121433223133023240
614302235523120520
71020031604123331
oct107726562653000
918443752552433
104942262392320
111636002304320
12679a15813140
1329b090272576
141312c7572288
158885d912280
hex47eb5cb5600

4942262392320 has 640 divisors, whose sum is σ = 18183156203520. Its totient is φ = 1132572672000.

The previous prime is 4942262392289. The next prime is 4942262392337. The reversal of 4942262392320 is 232932622494.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4942262392320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788110785 + ... + 788117055.

It is an arithmetic number, because the mean of its divisors is an integer number (28411181568).

Almost surely, 24942262392320 is an apocalyptic number.

4942262392320 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 4942262392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091578101760).

4942262392320 is an abundant number, since it is smaller than the sum of its proper divisors (13240893811200).

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

4942262392320 is a wasteful number, since it uses less digits than its factorization.

4942262392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 4942262392320 in words is "four trillion, nine hundred forty-two billion, two hundred sixty-two million, three hundred ninety-two thousand, three hundred twenty".