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157267728592 = 241310728125147
BaseRepresentation
bin1001001001110111100…
…0110001100011010000
3120000221020222101020121
42102131320301203100
510034041014303332
6200125305120024
714235145431232
oct2223570614320
9500836871217
10157267728592
1160773595217
1226590789014
1311aa4194390
14787cac0252
154156b80797
hex249de318d0

157267728592 has 80 divisors (see below), whose sum is σ = 332403849792. Its totient is φ = 71647994880.

The previous prime is 157267728581. The next prime is 157267728599. The reversal of 157267728592 is 295827762751.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 157267728592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157267728599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6241363 + ... + 6266509.

Almost surely, 2157267728592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157267728592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166201924896).

157267728592 is an abundant number, since it is smaller than the sum of its proper divisors (175136121200).

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

157267728592 is a wasteful number, since it uses less digits than its factorization.

157267728592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25556 (or 25550 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 61.

The spelling of 157267728592 in words is "one hundred fifty-seven billion, two hundred sixty-seven million, seven hundred twenty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 281 428 562 856 1124 1391 1712 2248 2782 3653 4496 5564 7306 11128 14612 22256 25147 29224 30067 50294 58448 60134 100588 120268 201176 240536 326911 390871 402352 481072 653822 781742 1307644 1563484 2615288 2690729 3126968 5230576 5381458 6253936 7066307 10762916 14132614 21525832 28265228 34979477 43051664 56530456 69958954 91861991 113060912 139917908 183723982 279835816 367447964 559671632 734895928 756094849 1469791856 1512189698 3024379396 6048758792 9829233037 12097517584 19658466074 39316932148 78633864296 157267728592