Search a number
-
+
5335036616 = 237133103421
BaseRepresentation
bin1001111011111111…
…00011001011001000
3111202210210221101202
410331333203023020
541411232132431
62241220203332
7246131030420
oct47577431310
914683727352
105335036616
112298541a78
12104a839548
136703a6000
14388795480
152135868cb
hex13dfe32c8

5335036616 has 128 divisors (see below), whose sum is σ = 12534412800. Its totient is φ = 2085108480.

The previous prime is 5335036607. The next prime is 5335036627. The reversal of 5335036616 is 6166305335.

It is a self number, because there is not a number n which added to its sum of digits gives 5335036616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12672086 + ... + 12672506.

It is an arithmetic number, because the mean of its divisors is an integer number (97925100).

Almost surely, 25335036616 is an apocalyptic number.

5335036616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5335036616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267206400).

5335036616 is an abundant number, since it is smaller than the sum of its proper divisors (7199376184).

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

5335036616 is a wasteful number, since it uses less digits than its factorization.

5335036616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 38.

The square root of 5335036616 is about 73041.3349823235. The cubic root of 5335036616 is about 1747.3469039840.

The spelling of 5335036616 in words is "five billion, three hundred thirty-five million, thirty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 169 182 206 338 364 412 421 676 721 728 824 842 1183 1339 1352 1442 1684 2197 2366 2678 2884 2947 3368 4394 4732 5356 5473 5768 5894 8788 9373 9464 10712 10946 11788 15379 17407 17576 18746 21892 23576 30758 34814 37492 38311 43363 43784 61516 69628 71149 74984 76622 86726 121849 123032 139256 142298 153244 173452 226291 243698 284596 303541 306488 346904 452582 487396 498043 563719 569192 607082 905164 924937 974792 996086 1127438 1214164 1584037 1810328 1849874 1992172 2254876 2428328 3168074 3699748 3946033 3984344 4509752 6336148 6474559 7328347 7399496 7892066 12672296 12949118 14656694 15784132 25898236 29313388 31568264 51298429 51796472 58626776 95268511 102596858 190537022 205193716 381074044 410387432 666879577 762148088 1333759154 2667518308 5335036616