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10028238444 = 22327167238291
BaseRepresentation
bin10010101011011101…
…01100011001101100
3221212212220021222200
421111232230121230
5131014212112234
64335031541500
7503336422530
oct112556543154
927785807880
1010028238444
114286751a74
121b3a52a890
13c3a7c6703
146b1bd3bc0
153da5d9d99
hex255bac66c

10028238444 has 72 divisors (see below), whose sum is σ = 29144064768. Its totient is φ = 2848042080.

The previous prime is 10028238413. The next prime is 10028238461. The reversal of 10028238444 is 44483282001.

10028238444 is a `hidden beast` number, since 100 + 2 + 82 + 38 + 444 = 666.

It is a super-2 number, since 2×100282384442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10028238399 and 10028238408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77062 + ... + 161229.

Almost surely, 210028238444 is an apocalyptic number.

10028238444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10028238444 is an abundant number, since it is smaller than the sum of its proper divisors (19115826324).

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

10028238444 is a wasteful number, since it uses less digits than its factorization.

10028238444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238475 (or 238470 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 10028238444 in words is "ten billion, twenty-eight million, two hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 501 668 1002 1169 1503 2004 2338 3006 3507 4676 6012 7014 10521 14028 21042 42084 238291 476582 714873 953164 1429746 1668037 2144619 2859492 3336074 4289238 5004111 6672148 8578476 10008222 15012333 20016444 30024666 39794597 60049332 79589194 119383791 159178388 238767582 278562179 358151373 477535164 557124358 716302746 835686537 1114248716 1432605492 1671373074 2507059611 3342746148 5014119222 10028238444