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42213708416 = 2711139215693
BaseRepresentation
bin100111010100001000…
…100001001010000000
311000221221112120120002
4213110020201022000
51142423202132131
631220454135132
73023044413125
oct472410411200
9130857476502
1042213708416
11169a25a0a30
1282213514a8
133c998a36b9
1420865b674c
1511710106cb
hex9d4221280

42213708416 has 64 divisors (see below), whose sum is σ = 92403309600. Its totient is φ = 19049917440.

The previous prime is 42213708403. The next prime is 42213708469. The reversal of 42213708416 is 61480731224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42213708416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87866 + ... + 303558.

Almost surely, 242213708416 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 42213708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46201654800).

42213708416 is an abundant number, since it is smaller than the sum of its proper divisors (50189601184).

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

42213708416 is a wasteful number, since it uses less digits than its factorization.

42213708416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215857 (or 215845 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 42213708416 in words is "forty-two billion, two hundred thirteen million, seven hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 176 278 352 556 704 1112 1408 1529 2224 3058 4448 6116 8896 12232 17792 24464 48928 97856 195712 215693 431386 862772 1725544 2372623 3451088 4745246 6902176 9490492 13804352 18980984 27608704 29981327 37961968 59962654 75923936 119925308 151847872 239850616 303695744 329794597 479701232 659589194 959402464 1319178388 1918804928 2638356776 3837609856 5276713552 10553427104 21106854208 42213708416