Search a number
-
+
163600015134114 = 233131911379988423
BaseRepresentation
bin100101001100101100011000…
…110010011000110110100010
3210110021000020100022021022000
4211030230120302120312202
5132420410312333242424
61335540450455224430
746313465613054636
oct4514543062306642
9713230210267260
10163600015134114
1148145416554a89
1216422942078116
137039552350210
142c583d6704dc6
1513da929e233c9
hex94cb18c98da2

163600015134114 has 128 divisors (see below), whose sum is σ = 393604227072000. Its totient is φ = 50070718866240.

The previous prime is 163600015133977. The next prime is 163600015134131. The reversal of 163600015134114 is 411431510006361.

163600015134114 is a `hidden beast` number, since 1 + 6 + 3 + 600 + 0 + 1 + 5 + 1 + 3 + 41 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1850153307 + ... + 1850241729.

It is an arithmetic number, because the mean of its divisors is an integer number (3075033024000).

Almost surely, 2163600015134114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163600015134114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196802113536000).

163600015134114 is an abundant number, since it is smaller than the sum of its proper divisors (230004211937886).

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

163600015134114 is a wasteful number, since it uses less digits than its factorization.

163600015134114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102437 (or 102431 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 163600015134114 in words is "one hundred sixty-three trillion, six hundred billion, fifteen million, one hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 191 234 351 382 573 702 1146 1719 2483 3438 4966 5157 7449 10314 13799 14898 22347 27598 41397 44694 67041 82794 88423 124191 134082 176846 179387 248382 265269 358774 372573 530538 538161 745146 795807 1076322 1149499 1591614 1614483 2298998 2387421 2635609 3228966 3448497 4774842 4843449 5271218 6896994 7906827 9686898 10345491 15813654 16888793 20690982 23720481 31036473 33777586 34262917 47440962 50666379 62072946 68525834 71161443 101332758 102788751 142322886 151999137 205577502 219554309 303998274 308366253 439108618 455997411 616732506 658662927 911994822 925098759 1220148977 1317325854 1850197518 1975988781 2440297954 3660446931 3951977562 5927966343 7320893862 10981340793 11855932686 15861936701 21962681586 31723873402 32944022379 47585810103 65888044758 95171620206 142757430309 233048454607 285514860618 428272290927 466096909214 699145363821 856544581854 1398290727642 2097436091463 3029629909891 4194872182926 6059259819782 6292308274389 9088889729673 12584616548778 18177779459346 27266669189019 54533338378038 81800007567057 163600015134114