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116629450000 = 24557333227
BaseRepresentation
bin110110010011110101…
…0000010110100010000
3102011001002212221010021
41230213222002310100
53402324114400000
6125325005513224
711266120653010
oct1544752026420
9364032787107
10116629450000
114550a314008
121a72ab72814
13acc8b0309b
145905843c40
15307911911a
hex1b27a82d10

116629450000 has 120 divisors (see below), whose sum is σ = 322793964864. Its totient is φ = 39987120000.

The previous prime is 116629449997. The next prime is 116629450009. The reversal of 116629450000 is 54926611.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (116629450009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183387 + ... + 516613.

Almost surely, 2116629450000 is an apocalyptic number.

116629450000 is a gapful number since it is divisible by the number (10) 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 116629450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161396982432).

116629450000 is an abundant number, since it is smaller than the sum of its proper divisors (206164514864).

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

116629450000 is an frugal number, since it uses more digits than its factorization.

116629450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333267 (or 333241 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 116629450000 in words is "one hundred sixteen billion, six hundred twenty-nine million, four hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3125 3500 4375 5000 6250 7000 8750 10000 12500 14000 17500 21875 25000 35000 43750 50000 70000 87500 175000 333227 350000 666454 1332908 1666135 2332589 2665816 3332270 4665178 5331632 6664540 8330675 9330356 11662945 13329080 16661350 18660712 23325890 26658160 33322700 37321424 41653375 46651780 58314725 66645400 83306750 93303560 116629450 133290800 166613500 186607120 208266875 233258900 291573625 333227000 416533750 466517800 583147250 666454000 833067500 933035600 1041334375 1166294500 1457868125 1666135000 2082668750 2332589000 2915736250 3332270000 4165337500 4665178000 5831472500 7289340625 8330675000 11662945000 14578681250 16661350000 23325890000 29157362500 58314725000 116629450000