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157802001049 = 74114672
BaseRepresentation
bin1001001011110110111…
…0110111001010011001
3120002022111022020021101
42102331232313022121
510041134303013144
6200254312311401
714254323610000
oct2227556671231
9502274266241
10157802001049
1160a18130000
12266bb6a2561
1311b5aa89024
1478cda37c37
154188a186d4
hex24bdbb7299

157802001049 has 75 divisors (see below), whose sum is σ = 205566748485. Its totient is φ = 121127335560.

The previous prime is 157802001023. The next prime is 157802001103. The reversal of 157802001049 is 940100208751.

The square root of 157802001049 is 397243.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 157802001049 - 213 = 157801992857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157802000999 and 157802001017.

It is not an unprimeable number, because it can be changed into a prime (157802001349) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2355253714 + ... + 2355253780.

Almost surely, 2157802001049 is an apocalyptic number.

157802001049 is the 397243-rd square number.

157802001049 is the 198622-nd centered octagonal number.

It is an amenable number.

157802001049 is a deficient number, since it is larger than the sum of its proper divisors (47764747436).

157802001049 is an frugal number, since it uses more digits than its factorization.

157802001049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 157802001049 in words is "one hundred fifty-seven billion, eight hundred two million, one thousand, forty-nine".

Divisors: 1 7 11 49 67 77 121 343 469 539 737 847 1331 2401 3283 3773 4489 5159 5929 8107 9317 14641 22981 26411 31423 36113 41503 49379 56749 65219 89177 102487 160867 219961 252791 290521 345653 397243 456533 543169 624239 717409 980947 1539727 1769537 2419571 2780701 3195731 3802183 4369673 5021863 5974859 6866629 10778089 16936997 19464907 26615281 30587711 35153041 41824013 48066403 65723449 118558979 186306967 214113977 292768091 336464821 460064143 1304148769 2049376637 2355253747 3220449001 14345636459 22543143007 157802001049