Search a number
-
+
5507097704416 = 257118326927993
BaseRepresentation
bin101000000100011100010…
…0110100011011111100000
3201111110210002220120201001
41100020320212203133200
51210212014003020131
615413531544121344
71105606005062350
oct120107046433740
921443702816631
105507097704416
1118336020a2380
1274b38ba66254
1330c417836929
1415078b4bab60
15983bb51d261
hex502389a37e0

5507097704416 has 96 divisors (see below), whose sum is σ = 13680282647808. Its totient is φ = 2119771530240.

The previous prime is 5507097704411. The next prime is 5507097704443. The reversal of 5507097704416 is 6144077907055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5507097704411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13259485 + ... + 13668508.

It is an arithmetic number, because the mean of its divisors is an integer number (142502944248).

Almost surely, 25507097704416 is an apocalyptic number.

5507097704416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5507097704416 is an abundant number, since it is smaller than the sum of its proper divisors (8173184943392).

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

5507097704416 is a wasteful number, since it uses less digits than its factorization.

5507097704416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26928104 (or 26928096 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 5507097704416 in words is "five trillion, five hundred seven billion, ninety-seven million, seven hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 83 88 112 154 166 176 224 308 332 352 581 616 664 913 1162 1232 1328 1826 2324 2464 2656 3652 4648 6391 7304 9296 12782 14608 18592 25564 29216 51128 102256 204512 26927993 53855986 107711972 188495951 215423944 296207923 376991902 430847888 592415846 753983804 861695776 1184831692 1507967608 2073455461 2235023419 2369663384 3015935216 4146910922 4470046838 4739326768 6031870432 8293821844 8940093676 9478653536 15645163933 16587643688 17880187352 24585257609 31290327866 33175287376 35760374704 49170515218 62580655732 66350574752 71520749408 98341030436 125161311464 172096803263 196682060872 250322622928 344193606526 393364121744 500645245856 688387213052 786728243488 1376774426104 2753548852208 5507097704416