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116275754420 = 225721721793203
BaseRepresentation
bin110110001001010010…
…0110011010110110100
3102010010110100022222222
41230102210303112310
53401113043120140
6125225532541512
711254264414400
oct1542244632664
9363113308888
10116275754420
11453486a5311
121a650621898
13ac70754a67
1458b0894100
1530580505b5
hex1b129335b4

116275754420 has 144 divisors (see below), whose sum is σ = 300985554240. Its totient is φ = 37491987456.

The previous prime is 116275754339. The next prime is 116275754429. The reversal of 116275754420 is 24457572611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116275754429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36300539 + ... + 36303741.

It is an arithmetic number, because the mean of its divisors is an integer number (2090177460).

Almost surely, 2116275754420 is an apocalyptic number.

116275754420 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 116275754420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150492777120).

116275754420 is an abundant number, since it is smaller than the sum of its proper divisors (184709799820).

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

116275754420 is a wasteful number, since it uses less digits than its factorization.

116275754420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 116275754420 in words is "one hundred sixteen billion, two hundred seventy-five million, seven hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2179 2380 3203 3332 4165 4358 6406 8330 8716 10895 12812 15253 16015 16660 21790 22421 30506 32030 37043 43580 44842 54451 61012 64060 74086 76265 89684 106771 108902 112105 148172 152530 156947 185215 213542 217804 224210 259301 272255 305060 313894 370430 381157 427084 448420 518602 533855 544510 627788 740860 762314 784735 1037204 1067710 1089020 1296505 1524628 1569470 1815107 1905785 2135420 2593010 2668099 3138940 3630214 3811570 5186020 5336198 6979337 7260428 7623140 9075535 10672396 13340495 13958674 18151070 26680990 27917348 34896685 36302140 48855359 53361980 69793370 97710718 118648729 139586740 195421436 237297458 244276795 341987513 474594916 488553590 593243645 683975026 830541103 977107180 1186487290 1367950052 1661082206 1709937565 2372974580 3322164412 3419875130 4152705515 5813787721 6839750260 8305411030 11627575442 16610822060 23255150884 29068938605 58137877210 116275754420