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157049922001 = 723205100449
BaseRepresentation
bin1001001001000011100…
…1111010000111010001
3120000101002010122202211
42102100321322013101
510033114240001001
6200051524512121
714226562211500
oct2222071720721
9500332118684
10157049922001
116067164a975
122652b84b641
1311a6b01413b
14785bbc4837
1541429aa351
hex2490e7a1d1

157049922001 has 6 divisors (see below), whose sum is σ = 182690725650. Its totient is φ = 134614218816.

The previous prime is 157049921933. The next prime is 157049922101. The reversal of 157049922001 is 100229940751.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 140024891601 + 17025030400 = 374199^2 + 130480^2 .

It is a de Polignac number, because none of the positive numbers 2k-157049922001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157049922101) 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 5 ways as a sum of consecutive naturals, for example, 1602550176 + ... + 1602550273.

It is an arithmetic number, because the mean of its divisors is an integer number (30448454275).

Almost surely, 2157049922001 is an apocalyptic number.

It is an amenable number.

157049922001 is a deficient number, since it is larger than the sum of its proper divisors (25640803649).

157049922001 is an equidigital number, since it uses as much as digits as its factorization.

157049922001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205100463 (or 3205100456 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 157049922001 in words is "one hundred fifty-seven billion, forty-nine million, nine hundred twenty-two thousand, one".

Divisors: 1 7 49 3205100449 22435703143 157049922001