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1557046116 = 2232174315903
BaseRepresentation
bin101110011001110…
…1010001101100100
311000111212010201200
41130303222031210
511142100433431
6414300522500
753404450023
oct13463521544
94014763650
101557046116
11729a0387a
12375550430
131ba776882
1410ab128ba
1591a66ee6
hex5ccea364

1557046116 has 72 divisors (see below), whose sum is σ = 4177764864. Its totient is φ = 487269120.

The previous prime is 1557046109. The next prime is 1557046123. The reversal of 1557046116 is 6116407551.

It is a happy number.

1557046116 is a `hidden beast` number, since 15 + 570 + 4 + 61 + 16 = 666.

1557046116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1557046109) and next prime (1557046123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260821 + ... + 266723.

It is an arithmetic number, because the mean of its divisors is an integer number (58024512).

Almost surely, 21557046116 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 1557046116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088882432).

1557046116 is an abundant number, since it is smaller than the sum of its proper divisors (2620718748).

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

1557046116 is a wasteful number, since it uses less digits than its factorization.

1557046116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1557046116 is about 39459.4236653299. The cubic root of 1557046116 is about 1159.0455178517.

The spelling of 1557046116 in words is "one billion, five hundred fifty-seven million, forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 431 612 862 1293 1724 2586 3879 5172 5903 7327 7758 11806 14654 15516 17709 21981 23612 29308 35418 43962 53127 65943 70836 87924 100351 106254 131886 200702 212508 263772 301053 401404 602106 903159 1204212 1806318 2544193 3612636 5088386 7632579 10176772 15265158 22897737 30530316 43251281 45795474 86502562 91590948 129753843 173005124 259507686 389261529 519015372 778523058 1557046116