Search a number
-
+
4812370704 = 243417592111
BaseRepresentation
bin1000111101101011…
…01111001100010000
3110102101022202120000
410132311233030100
534323431330304
62113305450000
7230153322201
oct43665571420
913371282500
104812370704
11204a504379
12b237a0900
135b901623b
143391bd5a8
151d2742939
hex11ed6f310

4812370704 has 100 divisors (see below), whose sum is σ = 13942917120. Its totient is φ = 1602452160.

The previous prime is 4812370681. The next prime is 4812370729. The reversal of 4812370704 is 4070732184.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2278609 + ... + 2280719.

Almost surely, 24812370704 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 4812370704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971458560).

4812370704 is an abundant number, since it is smaller than the sum of its proper divisors (9130546416).

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

4812370704 is a wasteful number, since it uses less digits than its factorization.

4812370704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4812370704 is about 69371.2527204173. The cubic root of 4812370704 is about 1688.3132341002.

The spelling of 4812370704 in words is "four billion, eight hundred twelve million, three hundred seventy thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1759 2111 3518 4222 5277 6333 7036 8444 10554 12666 14072 15831 16888 18999 21108 25332 28144 31662 33776 37998 42216 47493 50664 56997 63324 75996 84432 94986 101328 113994 126648 142479 151992 170991 189972 227988 253296 284958 303984 341982 379944 455976 569916 683964 759888 911952 1139832 1367928 2279664 2735856 3713249 7426498 11139747 14852996 22279494 29705992 33419241 44558988 59411984 66838482 89117976 100257723 133676964 178235952 200515446 267353928 300773169 401030892 534707856 601546338 802061784 1203092676 1604123568 2406185352 4812370704