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515113385796 = 2236132912
BaseRepresentation
bin1110111111011110010…
…01100111111101000100
31211020121010201021000000
413133233021213331010
531414423011321141
61032350111321300
752133663351532
oct7375711477504
91736533637000
10515113385796
11189505093989
12839ba520230
13397623162c9
141ad08521152
15d5ec8935b6
hex77ef267f44

515113385796 has 63 divisors (see below), whose sum is σ = 1351656057423. Its totient is φ = 171691543080.

The previous prime is 515113385719. The next prime is 515113385821. The reversal of 515113385796 is 697583311515.

It is a happy number.

The square root of 515113385796 is 717714.

It is a perfect power (a square), and thus also a powerful number.

515113385796 is a `hidden beast` number, since 5 + 1 + 51 + 13 + 3 + 8 + 579 + 6 = 666.

It is a super-3 number, since 3×5151133857963 (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 38749911 + ... + 38763201.

Almost surely, 2515113385796 is an apocalyptic number.

515113385796 is the 717714-th square number.

It is an amenable number.

515113385796 is an abundant number, since it is smaller than the sum of its proper divisors (836542671627).

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

515113385796 is an frugal number, since it uses more digits than its factorization.

515113385796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26604 (or 13296 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 515113385796 in words is "five hundred fifteen billion, one hundred thirteen million, three hundred eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 13291 26582 39873 53164 79746 119619 159492 239238 358857 478476 717714 1076571 1435428 2153142 3229713 4306284 6459426 9689139 12918852 19378278 38756556 176650681 353301362 529952043 706602724 1059904086 1589856129 2119808172 3179712258 4769568387 6359424516 9539136774 14308705161 19078273548 28617410322 42926115483 57234820644 85852230966 128778346449 171704461932 257556692898 515113385796