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2829978216 = 2333131007827
BaseRepresentation
bin1010100010101110…
…0000101001101000
321022020002210022000
42220223200221220
521243433300331
61144452131000
7130062263232
oct25053405150
97266083260
102829978216
1112224a357a
1266b906a60
133613c5330
141cbbc9252
151186ac0e6
hexa8ae0a68

2829978216 has 64 divisors (see below), whose sum is σ = 8465755200. Its totient is φ = 870761664.

The previous prime is 2829978187. The next prime is 2829978233. The reversal of 2829978216 is 6128799282.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501106 + ... + 506721.

It is an arithmetic number, because the mean of its divisors is an integer number (132277425).

Almost surely, 22829978216 is an apocalyptic number.

2829978216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2829978216 is an abundant number, since it is smaller than the sum of its proper divisors (5635776984).

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

2829978216 is a wasteful number, since it uses less digits than its factorization.

2829978216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007855 (or 1007845 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2829978216 is about 53197.5395671642. The cubic root of 2829978216 is about 1414.4720303404.

The spelling of 2829978216 in words is "two billion, eight hundred twenty-nine million, nine hundred seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 1007827 2015654 3023481 4031308 6046962 8062616 9070443 12093924 13101751 18140886 24187848 26203502 27211329 36281772 39305253 52407004 54422658 72563544 78610506 104814008 108845316 117915759 157221012 217690632 235831518 314442024 353747277 471663036 707494554 943326072 1414989108 2829978216