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2425136364 = 2232719691733
BaseRepresentation
bin1001000010001100…
…1010010011101100
320021000022200200100
42100203022103230
514431313330424
61040351031100
7114045214260
oct22043122354
96230280610
102425136364
111034a20932
1257820b490
132c8579c41
141901240a0
15e2d8ddc9
hex908ca4ec

2425136364 has 144 divisors (see below), whose sum is σ = 7395431680. Its totient is φ = 654583680.

The previous prime is 2425136341. The next prime is 2425136381. The reversal of 2425136364 is 4636315242.

2425136364 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 13 + 636 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308142 + ... + 3308874.

Almost surely, 22425136364 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 2425136364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697715840).

2425136364 is an abundant number, since it is smaller than the sum of its proper divisors (4970295316).

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

2425136364 is a wasteful number, since it uses less digits than its factorization.

2425136364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1455 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2425136364 is about 49245.6735561613. The cubic root of 2425136364 is about 1343.5238733856.

The spelling of 2425136364 in words is "two billion, four hundred twenty-five million, one hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 691 733 798 1197 1382 1466 1596 2073 2199 2394 2764 2932 4146 4398 4788 4837 5131 6219 6597 8292 8796 9674 10262 12438 13129 13194 13927 14511 15393 19348 20524 24876 26258 26388 27854 29022 30786 39387 41781 43533 46179 52516 55708 58044 61572 78774 83562 87066 91903 92358 97489 118161 125343 157548 167124 174132 183806 184716 194978 236322 250686 275709 292467 367612 389956 472644 501372 506503 551418 584934 827127 877401 1013006 1102836 1169868 1519509 1654254 1754802 2026012 3039018 3308508 3509604 3545521 4558527 6078036 7091042 9117054 9623557 10636563 14182084 18234108 19247114 21273126 28870671 31909689 38494228 42546252 57741342 63819378 67364899 86612013 115482684 127638756 134729798 173224026 202094697 269459596 346448052 404189394 606284091 808378788 1212568182 2425136364