Search a number
-
+
157620046653 = 32131227588941
BaseRepresentation
bin1001001011001011100…
…0110000101100111101
3120001211210220222202200
42102302320300230331
510040301212443103
6200224252342113
714246654201466
oct2226270605475
9501753828680
10157620046653
1160934452a73
122666a774939
1311b2c17c6c4
1478b37d1d6d
154177a760a3
hex24b2e30b3d

157620046653 has 24 divisors (see below), whose sum is σ = 230422379616. Its totient is φ = 103818343200.

The previous prime is 157620046631. The next prime is 157620046687. The reversal of 157620046653 is 356640026751.

157620046653 is a `hidden beast` number, since 1 + 576 + 20 + 0 + 4 + 6 + 6 + 53 = 666.

157620046653 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 157620046653 - 216 = 157619981117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157620046599 and 157620046608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157620046693) 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 23 ways as a sum of consecutive naturals, for example, 26838 + ... + 562103.

It is an arithmetic number, because the mean of its divisors is an integer number (9600932484).

Almost surely, 2157620046653 is an apocalyptic number.

It is an amenable number.

157620046653 is a deficient number, since it is larger than the sum of its proper divisors (72802332963).

157620046653 is a wasteful number, since it uses less digits than its factorization.

157620046653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589305 (or 589302 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 157620046653 in words is "one hundred fifty-seven billion, six hundred twenty million, forty-six thousand, six hundred fifty-three".

Divisors: 1 3 9 131 227 393 681 1179 2043 29737 89211 267633 588941 1766823 5300469 77151271 133689607 231453813 401068821 694361439 1203206463 17513338517 52540015551 157620046653