Search a number
-
+
428107970763 = 33112472137433
BaseRepresentation
bin1100011101011010011…
…10010011100011001011
31111221000120200020012000
412032231032103203023
524003231120031023
6524400423322043
742633625465434
oct6165516234313
91457016606160
10428107970763
11155617874900
126ab785b0323
13314a7a308c5
1416a1321a48b
15b20938b243
hex63ad3938cb

428107970763 has 144 divisors (see below), whose sum is σ = 719137618080. Its totient is φ = 251503211520.

The previous prime is 428107970749. The next prime is 428107970767. The reversal of 428107970763 is 367079701824.

428107970763 is a `hidden beast` number, since 428 + 10 + 79 + 70 + 76 + 3 = 666.

It is not a de Polignac number, because 428107970763 - 24 = 428107970747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428107970767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 988701795 + ... + 988702227.

Almost surely, 2428107970763 is an apocalyptic number.

428107970763 is a deficient number, since it is larger than the sum of its proper divisors (291029647317).

428107970763 is a wasteful number, since it uses less digits than its factorization.

428107970763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 428107970763 in words is "four hundred twenty-eight billion, one hundred seven million, nine hundred seventy thousand, seven hundred sixty-three".

Divisors: 1 3 9 11 27 33 47 99 121 137 141 297 363 411 423 433 517 1089 1233 1269 1299 1507 1551 2209 3267 3699 3897 4521 4653 4763 5687 6439 6627 11691 13563 13959 14289 16577 17061 19317 19881 20351 24299 40689 42867 49731 51183 52393 57951 59321 59643 61053 70829 72897 128601 149193 153549 157179 173853 177963 183159 212487 218691 223861 267289 302633 447579 471537 533889 549477 637461 652531 656073 671583 779119 801867 907899 956497 1414611 1601667 1912383 1957593 2014749 2337357 2405601 2462471 2723697 2788087 2869491 3328963 5872779 6044247 7012071 7177841 7216803 7387413 8171091 8364261 8608473 9986889 10521467 17618337 21036213 21533523 22162239 25092783 25825419 29960667 30668957 31564401 36618593 64600569 66486717 75278349 89882001 92006871 94693203 109855779 115736137 131040089 193801707 276020613 284079609 329567337 337358527 347208411 393120267 828061839 988702011 1012075581 1041625233 1179360801 1441440979 3036226743 3124875699 3538082403 4324322937 9108680229 12972968811 15855850769 38918906433 47567552307 142702656921 428107970763