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157627420245 = 32523935414139
BaseRepresentation
bin1001001011001101010…
…0111000111001010101
3120001212022210121102200
42102303110320321111
510040310104421440
6200225114355113
714250103652031
oct2226324707125
9501768717380
10157627420245
1160938629949
122667112ba99
1311b30861989
1478b47911c1
154178530c30
hex24b3538e55

157627420245 has 48 divisors (see below), whose sum is σ = 274507833600. Its totient is φ = 83672346240.

The previous prime is 157627420243. The next prime is 157627420267. The reversal of 157627420245 is 542024726751.

157627420245 is a `hidden beast` number, since 1 + 576 + 2 + 74 + 2 + 0 + 2 + 4 + 5 = 666.

157627420245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157627420245 - 21 = 157627420243 is a prime.

It is a super-2 number, since 2×1576274202452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157627420245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157627420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38081386 + ... + 38085524.

It is an arithmetic number, because the mean of its divisors is an integer number (5718913200).

Almost surely, 2157627420245 is an apocalyptic number.

157627420245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157627420245 is a deficient number, since it is larger than the sum of its proper divisors (116880413355).

157627420245 is a wasteful number, since it uses less digits than its factorization.

157627420245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 157627420245 in words is "one hundred fifty-seven billion, six hundred twenty-seven million, four hundred twenty thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 239 717 1195 2151 3541 3585 4139 10623 10755 12417 17705 20695 31869 37251 53115 62085 159345 186255 846299 989221 2538897 2967663 4231495 4946105 7616691 8902989 12694485 14656199 14838315 38083455 43968597 44514945 73280995 131905791 219842985 659528955 3502831561 10508494683 17514157805 31525484049 52542473415 157627420245