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315135020196 = 2232371571506929
BaseRepresentation
bin1001001010111111000…
…00101100110010100100
31010010102022010201022200
410211133200230302210
520130344031121241
6400434313054500
731524224321553
oct4453740546244
91103368121280
10315135020196
11111714559a57
12510aa0b7430
1323942630469
1411377271d9a
1582e62944b6
hex495f82cca4

315135020196 has 72 divisors (see below), whose sum is σ = 823332302520. Its totient is φ = 101554891776.

The previous prime is 315135020149. The next prime is 315135020197. The reversal of 315135020196 is 691020531513.

It is a happy number.

315135020196 is a `hidden beast` number, since 3 + 1 + 513 + 50 + 2 + 0 + 1 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15418188900 + 299716831296 = 124170^2 + 547464^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 315135020196.

It is not an unprimeable number, because it can be changed into a prime (315135020197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544341 + ... + 962588.

Almost surely, 2315135020196 is an apocalyptic number.

315135020196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

315135020196 is an abundant number, since it is smaller than the sum of its proper divisors (508197282324).

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

315135020196 is a wasteful number, since it uses less digits than its factorization.

315135020196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507133 (or 1507128 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 315135020196 in words is "three hundred fifteen billion, one hundred thirty-five million, twenty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 157 222 314 333 444 471 628 666 942 1332 1413 1884 2826 5652 5809 11618 17427 23236 34854 52281 69708 104562 209124 1506929 3013858 4520787 6027716 9041574 13562361 18083148 27124722 54249444 55756373 111512746 167269119 223025492 236587853 334538238 473175706 501807357 669076476 709763559 946351412 1003614714 1419527118 2007229428 2129290677 2839054236 4258581354 8517162708 8753750561 17507501122 26261251683 35015002244 52522503366 78783755049 105045006732 157567510098 315135020196