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68921335296 = 293311453239
BaseRepresentation
bin100000000110000001…
…0000001111000000000
320120220020122121002000
41000030002001320000
52112122330212141
651354555224000
74656635453412
oct1001402017000
9216806577060
1068921335296
112725832a340
1211435748000
136664b26b08
14349b66c9b2
151bd5a915b6
hex100c081e00

68921335296 has 160 divisors (see below), whose sum is σ = 222558969600. Its totient is φ = 20885207040.

The previous prime is 68921335289. The next prime is 68921335321. The reversal of 68921335296 is 69253312986.

68921335296 is a `hidden beast` number, since 6 + 89 + 2 + 1 + 33 + 529 + 6 = 666.

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

It is a congruent number.

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, 74556 + ... + 378683.

It is an arithmetic number, because the mean of its divisors is an integer number (1390993560).

Almost surely, 268921335296 is an apocalyptic number.

68921335296 is a gapful number since it is divisible by the number (66) 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 68921335296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111279484800).

68921335296 is an abundant number, since it is smaller than the sum of its proper divisors (153637634304).

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

68921335296 is a wasteful number, since it uses less digits than its factorization.

68921335296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453277 (or 453255 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 68921335296 in words is "sixty-eight billion, nine hundred twenty-one million, three hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 453239 906478 1359717 1812956 2719434 3625912 4079151 4985629 5438868 7251824 8158302 9971258 10877736 12237453 14503648 14956887 16316604 19942516 21755472 24474906 29007296 29913774 32633208 39885032 43510944 44870661 48949812 58014592 59827548 65266416 79770064 87021888 89741322 97899624 116029184 119655096 130532832 134611983 159540128 174043776 179482644 195799248 232058368 239310192 261065664 269223966 319080256 348087552 358965288 391598496 478620384 522131328 538447932 638160512 696175104 717930576 783196992 957240768 1044262656 1076895864 1276321024 1435861152 1566393984 1914481536 2088525312 2153791728 2552642048 2871722304 3132787968 3828963072 4307583456 5743444608 6265575936 7657926144 8615166912 11486889216 17230333824 22973778432 34460667648 68921335296