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5476968216 = 23323716312613
BaseRepresentation
bin1010001100111001…
…11110011100011000
3112010200212210221200
411012130332130120
542204100440331
62303250234200
7252503314236
oct50634763430
915120783850
105476968216
112360673315
12108a285960
1369390b5c5
1439d57d956
15220c705e6
hex14673e718

5476968216 has 96 divisors (see below), whose sum is σ = 15329037360. Its totient is φ = 1765276416.

The previous prime is 5476968199. The next prime is 5476968221. The reversal of 5476968216 is 6128696745.

5476968216 is a `hidden beast` number, since 5 + 476 + 96 + 82 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427926 + ... + 440538.

Almost surely, 25476968216 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 5476968216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664518680).

5476968216 is an abundant number, since it is smaller than the sum of its proper divisors (9852069144).

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

5476968216 is a wasteful number, since it uses less digits than its factorization.

5476968216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12818 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5476968216 is about 74006.5417108515. The cubic root of 5476968216 is about 1762.7067742316.

The spelling of 5476968216 in words is "five billion, four hundred seventy-six million, nine hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 163 222 296 326 333 444 489 652 666 888 978 1304 1332 1467 1956 2664 2934 3912 5868 6031 11736 12062 12613 18093 24124 25226 36186 37839 48248 50452 54279 72372 75678 100904 108558 113517 144744 151356 217116 227034 302712 434232 454068 466681 908136 933362 1400043 1866724 2055919 2800086 3733448 4111838 4200129 5600172 6167757 8223676 8400258 11200344 12335514 16447352 16800516 18503271 24671028 33601032 37006542 49342056 74013084 76069003 148026168 152138006 228207009 304276012 456414018 608552024 684621027 912828036 1369242054 1825656072 2738484108 5476968216