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216603121540 = 225133772730971
BaseRepresentation
bin1100100110111010001…
…1010101011110000100
3202201002102222122111211
43021232203111132010
512022100344342130
6243301152341204
721435425104111
oct3115643253604
9681072878454
10216603121540
11839518a7153
1235b8bb44804
131756c024a50
14a6ab1ad908
15597ada2a2a
hex326e8d5784

216603121540 has 96 divisors (see below), whose sum is σ = 503803931904. Its totient is φ = 77705464320.

The previous prime is 216603121531. The next prime is 216603121583. The reversal of 216603121540 is 45121306612.

It is a happy number.

216603121540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6978255 + ... + 7009225.

It is an arithmetic number, because the mean of its divisors is an integer number (5247957624).

Almost surely, 2216603121540 is an apocalyptic number.

216603121540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216603121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251901965952).

216603121540 is an abundant number, since it is smaller than the sum of its proper divisors (287200810364).

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

216603121540 is a wasteful number, since it uses less digits than its factorization.

216603121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31757 (or 31755 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 216603121540 in words is "two hundred sixteen billion, six hundred three million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 727 740 962 1454 1924 2405 2908 3635 4810 7270 9451 9620 14540 18902 26899 30971 37804 47255 53798 61942 94510 107596 123884 134495 154855 189020 268990 309710 349687 402623 537980 619420 699374 805246 1145927 1398748 1610492 1748435 2013115 2291854 3496870 4026230 4583708 5729635 6993740 8052460 11459270 14897051 22515917 22918540 29794102 45031834 59588204 74485255 90063668 112579585 148970510 225159170 292706921 297941020 450318340 585413842 833088929 1170827684 1463534605 1666177858 2927069210 3332355716 4165444645 5854138420 8330889290 10830156077 16661778580 21660312154 43320624308 54150780385 108301560770 216603121540