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4405686688 = 251325631447
BaseRepresentation
bin1000001101001100…
…10111000110100000
3102101001002001222001
410012212113012200
533010323433223
62005101053344
7214114501414
oct40646270640
912331061861
104405686688
111960993687
12a2b557254
135529a4500
142db198d44
151abbad9ad
hex1069971a0

4405686688 has 72 divisors (see below), whose sum is σ = 9415411488. Its totient is φ = 2028379392.

The previous prime is 4405686679. The next prime is 4405686721. The reversal of 4405686688 is 8866865044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3043981 + ... + 3045427.

It is an arithmetic number, because the mean of its divisors is an integer number (130769604).

Almost surely, 24405686688 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 4405686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707705744).

4405686688 is an abundant number, since it is smaller than the sum of its proper divisors (5009724800).

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

4405686688 is a wasteful number, since it uses less digits than its factorization.

4405686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The square root of 4405686688 is about 66375.3469896768. The cubic root of 4405686688 is about 1639.3481803890.

The spelling of 4405686688 in words is "four billion, four hundred five million, six hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 563 676 1126 1352 1447 2252 2704 2894 4504 5408 5788 7319 9008 11576 14638 18016 18811 23152 29276 37622 46304 58552 75244 95147 117104 150488 190294 234208 244543 300976 380588 489086 601952 761176 814661 978172 1522352 1629322 1956344 3044704 3258644 3912688 6517288 7825376 10590593 13034576 21181186 26069152 42362372 84724744 137677709 169449488 275355418 338898976 550710836 1101421672 2202843344 4405686688