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63343234336 = 25176710117207
BaseRepresentation
bin111010111111100011…
…010000110100100000
320001111111110201002011
4322333203100310200
52014211331444321
645033253202304
74401463415404
oct727743206440
9201444421064
1063343234336
1124955671548
1210339630394
135c86299265
1430cc8c5104
1519aaee5ae1
hexebf8d0d20

63343234336 has 96 divisors (see below), whose sum is σ = 135348216192. Its totient is φ = 29071257600.

The previous prime is 63343234313. The next prime is 63343234373.

63343234336 is nontrivially palindromic in base 10.

63343234336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×633432343362 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672645 + ... + 3689851.

It is an arithmetic number, because the mean of its divisors is an integer number (1409877252).

Almost surely, 263343234336 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 63343234336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67674108096).

63343234336 is an abundant number, since it is smaller than the sum of its proper divisors (72004981856).

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

63343234336 is a wasteful number, since it uses less digits than its factorization.

63343234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17402 (or 17394 counting only the distinct ones).

The product of its digits is 839808, while the sum is 40.

The spelling of 63343234336 in words is "sixty-three billion, three hundred forty-three million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 67 68 101 134 136 202 268 272 404 536 544 808 1072 1139 1616 1717 2144 2278 3232 3434 4556 6767 6868 9112 13534 13736 17207 18224 27068 27472 34414 36448 54136 54944 68828 108272 115039 137656 216544 230078 275312 292519 460156 550624 585038 920312 1152869 1170076 1737907 1840624 2305738 2340152 3475814 3681248 4611476 4680304 6951628 9222952 9360608 13903256 18445904 19598773 27806512 29544419 36891808 39197546 55613024 59088838 78395092 116439769 118177676 156790184 232879538 236355352 313580368 465759076 472710704 627160736 931518152 945421408 1863036304 1979476073 3726072608 3958952146 7917904292 15835808584 31671617168 63343234336