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420902412678 = 2321119499922381
BaseRepresentation
bin1100001111111111011…
…11010010000110000110
31111020102102010221201100
412013333233102012012
523344002004201203
6521205423240530
742260232322446
oct6077757220606
91436372127640
10420902412678
1115255a491420
12696a7449146
13308c9c75877
141652c272126
15ae369baea3
hex61ffbd2186

420902412678 has 96 divisors (see below), whose sum is σ = 1047477600000. Its totient is φ = 120803659200.

The previous prime is 420902412641. The next prime is 420902412709. The reversal of 420902412678 is 876214209024.

It is a super-2 number, since 2×4209024126782 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18795048 + ... + 18817428.

It is an arithmetic number, because the mean of its divisors is an integer number (10911225000).

Almost surely, 2420902412678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420902412678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523738800000).

420902412678 is an abundant number, since it is smaller than the sum of its proper divisors (626575187322).

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

420902412678 is a wasteful number, since it uses less digits than its factorization.

420902412678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27418 (or 27415 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 420902412678 in words is "four hundred twenty billion, nine hundred two million, four hundred twelve thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 4999 9998 14997 22381 29994 44762 44991 54989 67143 89982 94981 109978 134286 164967 189962 201429 246191 284943 329934 402858 425239 492382 494901 569886 738573 850478 854829 989802 1044791 1275717 1477146 1709658 2089582 2215719 2551434 3134373 3827151 4431438 4677629 6268746 7654302 9355258 9403119 14032887 18806238 28065774 42098661 84197322 111882619 223765238 335647857 671295714 1006943571 1230708809 2013887142 2125769761 2461417618 3692126427 4251539522 6377309283 7384252854 11076379281 12754618566 19131927849 22152758562 23383467371 38263855698 46766934742 70150402113 140300804226 210451206339 420902412678