Search a number
-
+
36848470848 = 2637257106681
BaseRepresentation
bin100010010100010101…
…110000101101000000
310112010000220021020120
4202110111300231000
51100431202031343
624532234340240
72443065556110
oct422425605500
9115100807216
1036848470848
111469a0015a2
12718458a680
133623185107
141ad7bdd040
15e59eb0683
hex894570b40

36848470848 has 112 divisors (see below), whose sum is σ = 111857357184. Its totient is φ = 10487070720.

The previous prime is 36848470817. The next prime is 36848470891. The reversal of 36848470848 is 84807484863.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 36848470791 and 36848470800.

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, 292068 + ... + 398748.

Almost surely, 236848470848 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 36848470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55928678592).

36848470848 is an abundant number, since it is smaller than the sum of its proper divisors (75008886336).

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

36848470848 is a wasteful number, since it uses less digits than its factorization.

36848470848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106960 (or 106950 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 36848470848 in words is "thirty-six billion, eight hundred forty-eight million, four hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 257 336 448 514 672 771 1028 1344 1542 1799 2056 3084 3598 4112 5397 6168 7196 8224 10794 12336 14392 16448 21588 24672 28784 43176 49344 57568 86352 106681 115136 172704 213362 320043 345408 426724 640086 746767 853448 1280172 1493534 1706896 2240301 2560344 2987068 3413792 4480602 5120688 5974136 6827584 8961204 10241376 11948272 17922408 20482752 23896544 27417017 35844816 47793088 54834034 71689632 82251051 109668068 143379264 164502102 191919119 219336136 329004204 383838238 438672272 575757357 658008408 767676476 877344544 1151514714 1316016816 1535352952 1754689088 2303029428 2632033632 3070705904 4606058856 5264067264 6141411808 9212117712 12282823616 18424235424 36848470848