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4269664704 = 263432771867
BaseRepresentation
bin1111111001111101…
…1110100111000000
3102000120010102212210
43332133132213000
532221013232304
61543401422120
7210543360024
oct37637364700
912016112783
104269664704
1118a1129318
129b1a9a940
1353075aa26
142c70ac384
1519ec90c89
hexfe7de9c0

4269664704 has 112 divisors (see below), whose sum is σ = 11607483008. Its totient is φ = 1384363008.

The previous prime is 4269664687. The next prime is 4269664709. The reversal of 4269664704 is 4074669624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269664709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285979 + ... + 2287845.

Almost surely, 24269664704 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 4269664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803741504).

4269664704 is an abundant number, since it is smaller than the sum of its proper divisors (7337818304).

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

4269664704 is a wasteful number, since it uses less digits than its factorization.

4269664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 4269664704 is about 65342.6713870806. The cubic root of 4269664704 is about 1622.3003321396.

The spelling of 4269664704 in words is "four billion, two hundred sixty-nine million, six hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 277 344 516 554 688 831 1032 1108 1376 1662 1867 2064 2216 2752 3324 3734 4128 4432 5601 6648 7468 8256 8864 11202 11911 13296 14936 17728 22404 23822 26592 29872 35733 44808 47644 53184 59744 71466 80281 89616 95288 119488 142932 160562 179232 190576 240843 285864 321124 358464 381152 481686 517159 571728 642248 762304 963372 1034318 1143456 1284496 1551477 1926744 2068636 2286912 2568992 3102954 3853488 4137272 5137984 6205908 7706976 8274544 12411816 15413952 16549088 22237837 24823632 33098176 44475674 49647264 66713511 88951348 99294528 133427022 177902696 266854044 355805392 533708088 711610784 1067416176 1423221568 2134832352 4269664704