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2173729264 = 247235931423
BaseRepresentation
bin1000000110010000…
…0111100111110000
312121111020212222021
42001210013213300
513422433314024
6555410321224
7104603252050
oct20144074760
95544225867
102173729264
11a16016a73
12507b89214
13288463c45
1416899d560
15cac7cde4
hex819079f0

2173729264 has 80 divisors (see below), whose sum is σ = 5034534912. Its totient is φ = 888966144.

The previous prime is 2173729253. The next prime is 2173729279. The reversal of 2173729264 is 4629273712.

It is a self number, because there is not a number n which added to its sum of digits gives 2173729264.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1526857 + ... + 1528279.

Almost surely, 22173729264 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 2173729264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517267456).

2173729264 is an abundant number, since it is smaller than the sum of its proper divisors (2860805648).

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

2173729264 is a wasteful number, since it uses less digits than its factorization.

2173729264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 2173729264 is about 46623.2695550194. The cubic root of 2173729264 is about 1295.3938097582.

The spelling of 2173729264 in words is "two billion, one hundred seventy-three million, seven hundred twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 593 644 1186 1288 1423 2372 2576 2846 4151 4744 5692 8302 9488 9961 11384 13639 16604 19922 22768 27278 32729 33208 39844 54556 65458 66416 79688 95473 109112 130916 159376 190946 218224 229103 261832 381892 458206 523664 763784 843839 916412 1527568 1687678 1832824 3375356 3665648 5906873 6750712 11813746 13501424 19408297 23627492 38816594 47254984 77633188 94509968 135858079 155266376 271716158 310532752 543432316 1086864632 2173729264