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116621620344 = 23332934793847
BaseRepresentation
bin110110010011100110…
…0001011010001111000
3102011000120011010212000
41230213030023101320
53402320113322334
6125324130021000
711265664263015
oct1544714132170
9364016133760
10116621620344
1145505956519
121a728417760
13acc72c1358
1459047a670c
1530785be299
hex1b2730b478

116621620344 has 128 divisors (see below), whose sum is σ = 325817856000. Its totient is φ = 38650269312.

The previous prime is 116621620331. The next prime is 116621620369. The reversal of 116621620344 is 443026126611.

116621620344 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 21 + 620 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116621620299 and 116621620308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30313029 + ... + 30316875.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452000).

Almost surely, 2116621620344 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 116621620344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162908928000).

116621620344 is an abundant number, since it is smaller than the sum of its proper divisors (209196235656).

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

116621620344 is a wasteful number, since it uses less digits than its factorization.

116621620344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 116621620344 its reverse (443026126611), we get a palindrome (559647746955).

The spelling of 116621620344 in words is "one hundred sixteen billion, six hundred twenty-one million, six hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 293 479 586 879 958 1172 1437 1758 1916 2344 2637 2874 3516 3832 3847 4311 5274 5748 7032 7694 7911 8622 10548 11496 11541 12933 15388 15822 17244 21096 23082 25866 30776 31644 34488 34623 46164 51732 63288 69246 92328 103464 103869 138492 140347 207738 276984 280694 415476 421041 561388 830952 842082 1122776 1127171 1263123 1684164 1842713 2254342 2526246 3368328 3381513 3685426 3789369 4508684 5052492 5528139 6763026 7370852 7578738 9017368 10104984 10144539 11056278 13526052 14741704 15157476 16584417 20289078 22112556 27052104 30314952 30433617 33168834 40578156 44225112 49753251 60867234 66337668 81156312 99506502 121734468 132675336 199013004 243468936 398026008 539914909 1079829818 1619744727 2159659636 3239489454 4319319272 4859234181 6478978908 9718468362 12957957816 14577702543 19436936724 29155405086 38873873448 58310810172 116621620344