Search a number
-
+
420669435606 = 237175921614621
BaseRepresentation
bin1100001111100011101…
…10100010111011010110
31111012211011202111020220
412013301312202323112
523343012333414411
6521130341535210
742251403130140
oct6076166427326
91435734674226
10420669435606
1115244aa25292
1269641414506
1330890913504
1416509347c90
15ae212eab06
hex61f1da2ed6

420669435606 has 128 divisors (see below), whose sum is σ = 1036049771520. Its totient is φ = 111128371200.

The previous prime is 420669435587. The next prime is 420669435607. The reversal of 420669435606 is 606534966024.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420669435607) 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, 91031976 + ... + 91036596.

It is an arithmetic number, because the mean of its divisors is an integer number (8094138840).

Almost surely, 2420669435606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420669435606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518024885760).

420669435606 is an abundant number, since it is smaller than the sum of its proper divisors (615380335914).

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

420669435606 is a wasteful number, since it uses less digits than its factorization.

420669435606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870.

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 420669435606 in words is "four hundred twenty billion, six hundred sixty-nine million, four hundred thirty-five thousand, six hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 59 102 118 119 177 238 354 357 413 714 826 1003 1239 2006 2161 2478 3009 4322 4621 6018 6483 7021 9242 12966 13863 14042 15127 21063 27726 30254 32347 36737 42126 45381 64694 73474 78557 90762 97041 110211 127499 157114 194082 220422 235671 254998 257159 272639 382497 471342 514318 545278 549899 764994 771477 817917 892493 1099798 1542954 1635834 1649697 1784986 1908473 2167483 2677479 3299394 3816946 4334966 4634863 5354958 5725419 6502449 9269726 9985981 11450838 13004898 13904589 15172381 19971962 27809178 29957943 30344762 32444041 45517143 59915886 64888082 69901867 91034286 97332123 139803734 169761677 194664246 209705601 339523354 419411202 509285031 589172879 1018570062 1178345758 1188331739 1767518637 2376663478 3535037274 3564995217 4124210153 7129990434 8248420306 10015938943 12372630459 20031877886 24745260918 30047816829 60095633658 70111572601 140223145202 210334717803 420669435606