Search a number
-
+
420596735778 = 23231249312
BaseRepresentation
bin1100001111011011000…
…01001101111100100010
31111012122002221221211200
412013231201031330202
523342340231021103
6521115223422030
742246531160242
oct6075541157442
91435562857750
10420596735778
1115241298a88a
1269620bb4916
133087b83ab6b
14164dd821b22
15ae19c3a0a3
hex61ed84df22

420596735778 has 54 divisors (see below), whose sum is σ = 941828750811. Its totient is φ = 135648851400.

The previous prime is 420596735771. The next prime is 420596735813. The reversal of 420596735778 is 877537695024.

420596735778 is a `hidden beast` number, since 4 + 2 + 0 + 59 + 6 + 7 + 3 + 577 + 8 = 666.

420596735778 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 210298367889 + 210298367889 = 458583^2 + 458583^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=458583.

It is a super-2 number, since 2×4205967357782 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420596735771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85293973 + ... + 85298903.

Almost surely, 2420596735778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420596735778

420596735778 is an abundant number, since it is smaller than the sum of its proper divisors (521232015033).

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

420596735778 is an frugal number, since it uses more digits than its factorization.

420596735778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 420596735778 in words is "four hundred twenty billion, five hundred ninety-six million, seven hundred thirty-five thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 4931 5766 8649 9862 14793 17298 29586 44379 88758 152861 305722 458583 917166 1375749 2751498 4738691 9477382 14216073 24314761 28432146 42648219 48629522 72944283 85296438 145888566 218832849 437665698 753757591 1507515182 2261272773 4522545546 6783818319 13567636638 23366485321 46732970642 70099455963 140198911926 210298367889 420596735778