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151225482880 = 2751713899401
BaseRepresentation
bin1000110011010110111…
…1011011111010000000
3112110100011102111100101
42030311233123322000
54434202210423010
6153245542532144
713632336252433
oct2146557337200
9473304374311
10151225482880
115915292a61a
1225385137054
1311350426864
14746843581a
153e014a073a
hex2335bdbe80

151225482880 has 64 divisors (see below), whose sum is σ = 382789531080. Its totient is φ = 56931942400.

The previous prime is 151225482833. The next prime is 151225482887. The reversal of 151225482880 is 88284522151.

It can be written as a sum of positive squares in 4 ways, for example, as 135347466816 + 15878016064 = 367896^2 + 126008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 151225482880.

It is not an unprimeable number, because it can be changed into a prime (151225482887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6938821 + ... + 6960580.

Almost surely, 2151225482880 is an apocalyptic number.

151225482880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151225482880 is an abundant number, since it is smaller than the sum of its proper divisors (231564048200).

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

151225482880 is a wasteful number, since it uses less digits than its factorization.

151225482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899437 (or 13899425 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 151225482880 in words is "one hundred fifty-one billion, two hundred twenty-five million, four hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 13899401 27798802 55597604 69497005 111195208 138994010 222390416 236289817 277988020 444780832 472579634 555976040 889561664 945159268 1111952080 1181449085 1779123328 1890318536 2223904160 2362898170 3780637072 4447808320 4725796340 7561274144 8895616640 9451592680 15122548288 18903185360 30245096576 37806370720 75612741440 151225482880