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168608644032 = 2634157137511
BaseRepresentation
bin1001110100000111011…
…0111011101111000000
3121010012121220120112210
42131001312323233000
510230302303102112
6205242512222120
715116164553523
oct2350166735700
9533177816483
10168608644032
1165563202904
122881683a940
1312b90913c2a
148236d74bba
1545bc611b3c
hex2741dbbbc0

168608644032 has 112 divisors (see below), whose sum is σ = 457803650304. Its totient is φ = 54734592000.

The previous prime is 168608644031. The next prime is 168608644037. The reversal of 168608644032 is 230446806861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168608644031) 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, 4476157 + ... + 4513667.

It is an arithmetic number, because the mean of its divisors is an integer number (4087532592).

Almost surely, 2168608644032 is an apocalyptic number.

168608644032 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 168608644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228901825152).

168608644032 is an abundant number, since it is smaller than the sum of its proper divisors (289195006272).

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

168608644032 is a wasteful number, since it uses less digits than its factorization.

168608644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38138 (or 38128 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 168608644032 in words is "one hundred sixty-eight billion, six hundred eight million, six hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 571 656 984 1142 1312 1713 1968 2284 2624 3426 3936 4568 6852 7872 9136 13704 18272 23411 27408 36544 37511 46822 54816 70233 75022 93644 109632 112533 140466 150044 187288 225066 280932 300088 374576 450132 561864 600176 749152 900264 1123728 1200352 1498304 1537951 1800528 2247456 2400704 3075902 3601056 4494912 4613853 6151804 7202112 9227706 12303608 18455412 21418781 24607216 36910824 42837562 49214432 64256343 73821648 85675124 98428864 128512686 147643296 171350248 257025372 295286592 342700496 514050744 685400992 878170021 1028101488 1370801984 1756340042 2056202976 2634510063 3512680084 4112405952 5269020126 7025360168 10538040252 14050720336 21076080504 28101440672 42152161008 56202881344 84304322016 168608644032