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68543434752 = 212313429083
BaseRepresentation
bin111111110101100000…
…011101000000000000
320112220220120020222120
4333311200131000000
52110334104403002
651253255404240
74644366403512
oct776540350000
9215826506876
1068543434752
1127083a89041
121134b083680
136604752420
1434633bbbb2
151bb27e5cbc
hexff581d000

68543434752 has 104 divisors (see below), whose sum is σ = 196819114464. Its totient is φ = 21090238464.

The previous prime is 68543434747. The next prime is 68543434777. The reversal of 68543434752 is 25743434586.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 68543434695 and 68543434704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54798 + ... + 374285.

Almost surely, 268543434752 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 68543434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409557232).

68543434752 is an abundant number, since it is smaller than the sum of its proper divisors (128275679712).

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

68543434752 is a wasteful number, since it uses less digits than its factorization.

68543434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429123 (or 429101 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 51.

The spelling of 68543434752 in words is "sixty-eight billion, five hundred forty-three million, four hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 9984 12288 13312 19968 26624 39936 53248 79872 159744 429083 858166 1287249 1716332 2574498 3432664 5148996 5578079 6865328 10297992 11156158 13730656 16734237 20595984 22312316 27461312 33468474 41191968 44624632 54922624 66936948 82383936 89249264 109845248 133873896 164767872 178498528 219690496 267747792 329535744 356997056 439380992 535495584 659071488 713994112 878761984 1070991168 1318142976 1427988224 1757523968 2141982336 2636285952 2855976448 4283964672 5272571904 5711952896 8567929344 11423905792 17135858688 22847811584 34271717376 68543434752