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4934914304 = 28311135503
BaseRepresentation
bin1001001100010010…
…01101000100000000
3110201220220121202212
410212021031010000
540101314224204
62133404201252
7233202036155
oct44611150400
913656817685
104934914304
1121026a3181
12b58839228
13608520b48
1434b59c22c
151dd39bc6e
hex12624d100

4934914304 has 72 divisors (see below), whose sum is σ = 10260160512. Its totient is φ = 2366300160.

The previous prime is 4934914261. The next prime is 4934914333. The reversal of 4934914304 is 4034194394.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894017 + ... + 899519.

Almost surely, 24934914304 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 4934914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130080256).

4934914304 is an abundant number, since it is smaller than the sum of its proper divisors (5325246208).

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

4934914304 is a wasteful number, since it uses less digits than its factorization.

4934914304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 4934914304 is about 70248.9452162806. The cubic root of 4934914304 is about 1702.5238525699.

The spelling of 4934914304 in words is "four billion, nine hundred thirty-four million, nine hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 128 226 248 256 452 496 904 992 1808 1984 3503 3616 3968 5503 7006 7232 7936 11006 14012 14464 22012 28024 28928 44024 56048 88048 112096 170593 176096 224192 341186 352192 448384 621839 682372 704384 896768 1243678 1364744 1408768 2487356 2729488 4974712 5458976 9949424 10917952 19277009 19898848 21835904 38554018 39797696 43671808 77108036 79595392 154216072 159190784 308432144 616864288 1233728576 2467457152 4934914304