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168685204992 = 2934310923431
BaseRepresentation
bin1001110100011001101…
…0111111011000000000
3121010101221222021102220
42131012122333120000
510230431403024432
6205254245211040
715121114404363
oct2350632773000
9533357867386
10168685204992
11655a2445227
1228838400a80
1312ba373bb85
1482431c40da
1545c41d672c
hex27466bf600

168685204992 has 160 divisors (see below), whose sum is σ = 464077320960. Its totient is φ = 54414581760.

The previous prime is 168685204991. The next prime is 168685205033. The reversal of 168685204992 is 299402586861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168685204991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7187517 + ... + 7210947.

It is an arithmetic number, because the mean of its divisors is an integer number (2900483256).

Almost surely, 2168685204992 is an apocalyptic number.

168685204992 is a gapful number since it is divisible by the number (12) 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 168685204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038660480).

168685204992 is an abundant number, since it is smaller than the sum of its proper divisors (295392115968).

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

168685204992 is a wasteful number, since it uses less digits than its factorization.

168685204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23604 (or 23588 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 168685204992 in words is "one hundred sixty-eight billion, six hundred eighty-five million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 109 128 129 172 192 218 256 258 327 344 384 436 512 516 654 688 768 872 1032 1308 1376 1536 1744 2064 2616 2752 3488 4128 4687 5232 5504 6976 8256 9374 10464 11008 13952 14061 16512 18748 20928 22016 23431 27904 28122 33024 37496 41856 46862 55808 56244 66048 70293 74992 83712 93724 112488 140586 149984 167424 187448 224976 281172 299968 374896 449952 562344 599936 749792 899904 1007533 1124688 1199872 1499584 1799808 2015066 2249376 2399744 2553979 2999168 3022599 3599616 4030132 4498752 5107958 5998336 6045198 7199232 7661937 8060264 8997504 10215916 11996672 12090396 15323874 16120528 17995008 20431832 24180792 30647748 32241056 35990016 40863664 48361584 61295496 64482112 81727328 96723168 109821097 122590992 128964224 163454656 193446336 219642194 245181984 257928448 326909312 329463291 386892672 439284388 490363968 515856896 653818624 658926582 773785344 878568776 980727936 1307637248 1317853164 1547570688 1757137552 1961455872 2635706328 3514275104 3922911744 5271412656 7028550208 10542825312 14057100416 21085650624 28114200832 42171301248 56228401664 84342602496 168685204992