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2151410148 = 2232472834493
BaseRepresentation
bin1000000000111011…
…1110100111100100
312112221020221220100
42000032332213210
513401230111043
6553252104100
7104212453536
oct20016764744
95487227810
102151410148
11a04462318
12500605030
1328394b074
14165a2d856
15c8d1ecd3
hex803be9e4

2151410148 has 72 divisors (see below), whose sum is σ = 5574860928. Its totient is φ = 699242688.

The previous prime is 2151410141. The next prime is 2151410167. The reversal of 2151410148 is 8410141512.

It is a happy number.

2151410148 is a `hidden beast` number, since 2 + 1 + 514 + 1 + 0 + 148 = 666.

It is not an unprimeable number, because it can be changed into a prime (2151410141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476590 + ... + 481082.

It is an arithmetic number, because the mean of its divisors is an integer number (77428624).

Almost surely, 22151410148 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 2151410148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787430464).

2151410148 is an abundant number, since it is smaller than the sum of its proper divisors (3423450780).

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

2151410148 is a wasteful number, since it uses less digits than its factorization.

2151410148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2151410148 is about 46383.2960019014. The cubic root of 2151410148 is about 1290.9449935294.

The spelling of 2151410148 in words is "two billion, one hundred fifty-one million, four hundred ten thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 283 423 564 566 846 849 1132 1692 1698 2547 3396 4493 5094 8986 10188 13301 13479 17972 26602 26958 39903 40437 53204 53916 79806 80874 119709 159612 161748 211171 239418 422342 478836 633513 844684 1267026 1271519 1900539 2534052 2543038 3801078 3814557 5086076 7602156 7629114 11443671 15258228 22887342 45774684 59761393 119522786 179284179 239045572 358568358 537852537 717136716 1075705074 2151410148