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4313673792 = 263810273
BaseRepresentation
bin1000000010001110…
…10111000001000000
3102010121221100000000
410001013113001000
532313300030132
61552013000000
7211616423301
oct40107270100
912117840000
104313673792
111913a57a6a
12a04783000
135398c92cc
142ccc867a8
151a3a8587c
hex1011d7040

4313673792 has 126 divisors (see below), whose sum is σ = 12840517118. Its totient is φ = 1437751296.

The previous prime is 4313673761. The next prime is 4313673809. The reversal of 4313673792 is 2973763134.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3178253376 + 1135420416 = 56376^2 + 33696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414768 + ... + 425040.

Almost surely, 24313673792 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 4313673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420258559).

4313673792 is an abundant number, since it is smaller than the sum of its proper divisors (8526843326).

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

4313673792 is an frugal number, since it uses more digits than its factorization.

4313673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10278 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 4313673792 is about 65678.5641743179. The cubic root of 4313673792 is about 1627.8551829440.

It can be divided in two parts, 43 and 13673792, that added together give a triangular number (13673835 = T5229).

The spelling of 4313673792 in words is "four billion, three hundred thirteen million, six hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 10273 11664 13122 15552 17496 20546 23328 26244 30819 34992 41092 46656 52488 61638 69984 82184 92457 104976 123276 139968 164368 184914 209952 246552 277371 328736 369828 419904 493104 554742 657472 739656 832113 986208 1109484 1479312 1664226 1972416 2218968 2496339 2958624 3328452 4437936 4992678 5917248 6656904 7489017 8875872 9985356 13313808 14978034 17751744 19970712 22467051 26627616 29956068 39941424 44934102 53255232 59912136 67401153 79882848 89868204 119824272 134802306 159765696 179736408 239648544 269604612 359472816 479297088 539209224 718945632 1078418448 1437891264 2156836896 4313673792