Search a number
-
+
64152663645042 = 23371983107619557
BaseRepresentation
bin11101001011000101101001…
…01110100101101101110010
322102010221020102122220212000
432211202310232211231302
531402034123343120132
6344235154332114430
716340606544502020
oct1645426456455562
9272127212586760
1064152663645042
1119493aa0197865
127241271305a16
1329a4754a213ab
1411bb0110b5710
15763b583e087c
hex3a58b4ba5b72

64152663645042 has 128 divisors (see below), whose sum is σ = 173568823142400. Its totient is φ = 17155418182848.

The previous prime is 64152663645029. The next prime is 64152663645043. The reversal of 64152663645042 is 24054636625146.

64152663645042 is a `hidden beast` number, since 6 + 4 + 1 + 526 + 6 + 3 + 64 + 50 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 64152663645042.

It is not an unprimeable number, because it can be changed into a prime (64152663645043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53213673 + ... + 54405884.

It is an arithmetic number, because the mean of its divisors is an integer number (1356006430800).

Almost surely, 264152663645042 is an apocalyptic number.

64152663645042 is an abundant number, since it is smaller than the sum of its proper divisors (109416159497358).

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

64152663645042 is a wasteful number, since it uses less digits than its factorization.

64152663645042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107619677 (or 107619671 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 64152663645042 in words is "sixty-four trillion, one hundred fifty-two billion, six hundred sixty-three million, six hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 83 114 126 133 166 171 189 249 266 342 378 399 498 513 581 747 798 1026 1162 1197 1494 1577 1743 2241 2394 3154 3486 3591 4482 4731 5229 7182 9462 10458 11039 14193 15687 22078 28386 31374 33117 42579 66234 85158 99351 198702 298053 596106 107619557 215239114 322858671 645717342 753336899 968576013 1506673798 1937152026 2044771583 2260010697 2905728039 4089543166 4520021394 5811456078 6134314749 6780032091 8932423231 12268629498 13560064182 14313401081 17864846462 18402944247 20340096273 26797269693 28626802162 36805888494 40680192546 42940203243 53594539386 55208832741 62526962617 80391809079 85880406486 110417665482 125053925234 128820609729 160783618158 169716041389 187580887851 241175427237 257641219458 339432082778 375161775702 386461829187 482350854474 509148124167 562742663553 772923658374 1018296248334 1125485327106 1188012289723 1527444372501 1688227990659 2376024579446 3054888745002 3376455981318 3564036869169 4582333117503 7128073738338 9164666235006 10692110607507 21384221215014 32076331822521 64152663645042