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930842780020 = 225149312363349
BaseRepresentation
bin11011000101110101000…
…11011010000101110100
310021222200000220122110021
431202322203122011310
5110222331222430040
61551342343134524
7124152103036666
oct15427243320564
93258600818407
10930842780020
1132984a533a3a
121304a1444444
1369a166320ba
14330a5734536
151933012d24a
hexd8ba8da174

930842780020 has 24 divisors (see below), whose sum is σ = 1967889105000. Its totient is φ = 369838204032.

The previous prime is 930842780017. The next prime is 930842780057. The reversal of 930842780020 is 20087248039.

It is a happy number.

930842780020 is digitally balanced in base 2, 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 4 ways, for example, as 89564927076 + 841277852944 = 299274^2 + 917212^2 .

It is a super-2 number, since 2×9308427800202 (a number of 25 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 7 ways as a sum of consecutive naturals, for example, 156178695 + ... + 156184654.

It is an arithmetic number, because the mean of its divisors is an integer number (81995379375).

Almost surely, 2930842780020 is an apocalyptic number.

It is an amenable number.

930842780020 is an abundant number, since it is smaller than the sum of its proper divisors (1037046324980).

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

930842780020 is a wasteful number, since it uses less digits than its factorization.

930842780020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312363507 (or 312363505 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 930842780020 in words is "nine hundred thirty billion, eight hundred forty-two million, seven hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 312363349 624726698 1249453396 1561816745 3123633490 6247266980 46542139001 93084278002 186168556004 232710695005 465421390010 930842780020