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152542451300 = 2252101128911717
BaseRepresentation
bin1000111000010000111…
…1010001011001100100
3112120201221112102101112
42032010033101121210
54444401331420200
6154024350044152
714010100304501
oct2160417213144
9476657472345
10152542451300
1159769267478
12256921a9658
1311500223105
1475512d24a8
153e7bde3535
hex23843d1664

152542451300 has 72 divisors (see below), whose sum is σ = 334582413480. Its totient is φ = 60360832000.

The previous prime is 152542451291. The next prime is 152542451317. The reversal of 152542451300 is 3154245251.

It can be written as a sum of positive squares in 12 ways, for example, as 26927497216 + 125614954084 = 164096^2 + 354422^2 .

It is a super-2 number, since 2×1525424513002 (a number of 23 digits) contains 22 as substring.

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, 13013042 + ... + 13024758.

It is an arithmetic number, because the mean of its divisors is an integer number (4646977965).

Almost surely, 2152542451300 is an apocalyptic number.

152542451300 is a gapful number since it is divisible by the number (10) 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 152542451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167291206740).

152542451300 is an abundant number, since it is smaller than the sum of its proper divisors (182039962180).

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

152542451300 is a wasteful number, since it uses less digits than its factorization.

152542451300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 152542451300 its reverse (3154245251), we get a palindrome (155696696551).

The spelling of 152542451300 in words is "one hundred fifty-two billion, five hundred forty-two million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1289 2020 2525 2578 5050 5156 6445 10100 11717 12890 23434 25780 32225 46868 58585 64450 117170 128900 130189 234340 260378 292925 520756 585850 650945 1171700 1183417 1301890 2366834 2603780 3254725 4733668 5917085 6509450 11834170 13018900 15103213 23668340 29585425 30206426 59170850 60412852 75516065 118341700 151032130 302064260 377580325 755160650 1510321300 1525424513 3050849026 6101698052 7627122565 15254245130 30508490260 38135612825 76271225650 152542451300