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10028115972 = 22327231183383
BaseRepresentation
bin10010101011011100…
…01110100000000100
3221212212200001222200
421111232032200010
5131014144202342
64335025154500
7503335402500
oct112556164004
927785601880
1010028115972
114286678a56
121b3a48ba30
13c3a782a44
146b1ba1300
153da5b394c
hex255b8e804

10028115972 has 108 divisors (see below), whose sum is σ = 30438809856. Its totient is φ = 2772735840.

The previous prime is 10028115959. The next prime is 10028115973. The reversal of 10028115972 is 27951182001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10028115973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37008 + ... + 146375.

It is an arithmetic number, because the mean of its divisors is an integer number (281840832).

Almost surely, 210028115972 is an apocalyptic number.

10028115972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10028115972 is an abundant number, since it is smaller than the sum of its proper divisors (20410693884).

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

10028115972 is a wasteful number, since it uses less digits than its factorization.

10028115972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183438 (or 183426 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 10028115972 its reverse (27951182001), we get a palindrome (37979297973).

The spelling of 10028115972 in words is "ten billion, twenty-eight million, one hundred fifteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13671 18228 27342 54684 183383 366766 550149 733532 1100298 1283681 1650447 2200596 2567362 3300894 3851043 5134724 5684873 6601788 7702086 8985767 11369746 11553129 15404172 17054619 17971534 22739492 23106258 26957301 34109238 35943068 39794111 46212516 51163857 53914602 68218476 79588222 80871903 102327714 107829204 119382333 159176444 161743806 204655428 238764666 278558777 323487612 358146999 477529332 557117554 716293998 835676331 1114235108 1432587996 1671352662 2507028993 3342705324 5014057986 10028115972