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4764239712 = 2532293118401
BaseRepresentation
bin1000110111111100…
…01000011101100000
3110022000202110020200
410123332020131200
534224121132322
62104430105200
7226030240461
oct43376103540
913260673220
104764239712
11202531a8a1
12b0b64b200
135ac06376b
14332a50d68
151cd3d68ac
hex11bf88760

4764239712 has 144 divisors (see below), whose sum is σ = 14468388480. Its totient is φ = 1483776000.

The previous prime is 4764239707. The next prime is 4764239717. The reversal of 4764239712 is 2179324674.

It is an interprime number because it is at equal distance from previous prime (4764239707) and next prime (4764239717).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764239717) 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, 249712 + ... + 268112.

It is an arithmetic number, because the mean of its divisors is an integer number (100474920).

Almost surely, 24764239712 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 4764239712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234194240).

4764239712 is an abundant number, since it is smaller than the sum of its proper divisors (9704148768).

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

4764239712 is a wasteful number, since it uses less digits than its factorization.

4764239712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18466 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 4764239712 is about 69023.4721815702. The cubic root of 4764239712 is about 1682.6658017174.

The spelling of 4764239712 in words is "four billion, seven hundred sixty-four million, two hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 72 87 93 96 116 124 144 174 186 232 248 261 279 288 348 372 464 496 522 558 696 744 899 928 992 1044 1116 1392 1488 1798 2088 2232 2697 2784 2976 3596 4176 4464 5394 7192 8091 8352 8928 10788 14384 16182 18401 21576 28768 32364 36802 43152 55203 64728 73604 86304 110406 129456 147208 165609 220812 258912 294416 331218 441624 533629 570431 588832 662436 883248 1067258 1140862 1324872 1600887 1711293 1766496 2134516 2281724 2649744 3201774 3422586 4269032 4563448 4802661 5133879 5299488 6403548 6845172 8538064 9126896 9605322 10267758 12807096 13690344 16542499 17076128 18253792 19210644 20535516 25614192 27380688 33084998 38421288 41071032 49627497 51228384 54761376 66169996 76842576 82142064 99254994 132339992 148882491 153685152 164284128 198509988 264679984 297764982 397019976 529359968 595529964 794039952 1191059928 1588079904 2382119856 4764239712