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5607050148 = 2233710173433
BaseRepresentation
bin1010011100011010…
…01100101110100100
3112110202122122211000
411032031030232210
542440401101043
62324214313300
7255643065660
oct51615145644
915422578730
105607050148
112418040847
121105958830
136b485546b
143b29618a0
1522c3b82d3
hex14e34cba4

5607050148 has 96 divisors (see below), whose sum is σ = 16778200320. Its totient is φ = 1586131200.

The previous prime is 5607050131. The next prime is 5607050159. The reversal of 5607050148 is 8410507065.

5607050148 is a `hidden beast` number, since 5 + 607 + 0 + 5 + 0 + 1 + 48 = 666.

It is a super-2 number, since 2×56070501482 = 62878022724373643808, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 39640 + ... + 113072.

It is an arithmetic number, because the mean of its divisors is an integer number (174772920).

Almost surely, 25607050148 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 5607050148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389100160).

5607050148 is an abundant number, since it is smaller than the sum of its proper divisors (11171150172).

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

5607050148 is a wasteful number, since it uses less digits than its factorization.

5607050148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73554 (or 73546 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5607050148 is about 74880.2387015426. The cubic root of 5607050148 is about 1776.5529117589.

The spelling of 5607050148 in words is "five billion, six hundred seven million, fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 2121 2727 2828 3636 4242 5454 6363 8484 10908 12726 19089 25452 38178 73433 76356 146866 220299 293732 440598 514031 660897 881196 1028062 1321794 1542093 1982691 2056124 2643588 3084186 3965382 4626279 6168372 7416733 7930764 9252558 13878837 14833466 18505116 22250199 27757674 29666932 44500398 51917131 55515348 66750597 89000796 103834262 133501194 155751393 200251791 207668524 267002388 311502786 400503582 467254179 623005572 801007164 934508358 1401762537 1869016716 2803525074 5607050148