Search a number
-
+
5490230079376 = 247267212492
BaseRepresentation
bin100111111100100101100…
…1101101010111110010000
3201102212020120111110002201
41033321023031222332100
51204422442400020001
615402102112252544
71104441006453100
oct117711315527620
921385216443081
105490230079376
111827436827a99
12748062b41154
1330a95a0b1003
1414da2b219200
1597c30793501
hex4fe4b36af90

5490230079376 has 135 divisors (see below), whose sum is σ = 12571534965969. Its totient is φ = 2315981251584.

The previous prime is 5490230079349. The next prime is 5490230079377. The reversal of 5490230079376 is 6739700320945.

The square root of 5490230079376 is 2343124.

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

It can be written as a sum of positive squares in only one way, i.e., 2246773157776 + 3243456921600 = 1498924^2 + 1800960^2 .

It is not an unprimeable number, because it can be changed into a prime (5490230079377) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4395700000 + ... + 4395701248.

Almost surely, 25490230079376 is an apocalyptic number.

5490230079376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5490230079376 is the 2343124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490230079376

5490230079376 is an abundant number, since it is smaller than the sum of its proper divisors (7081304886593).

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

5490230079376 is an frugal number, since it uses more digits than its factorization.

5490230079376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 55.

The spelling of 5490230079376 in words is "five trillion, four hundred ninety billion, two hundred thirty million, seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1249 1876 2498 3283 3752 4489 4996 6566 7504 8743 8978 9992 13132 17486 17956 19984 26264 31423 34972 35912 52528 61201 62846 69944 71824 83683 122402 125692 139888 167366 219961 244804 251384 334732 439922 489608 502768 585781 669464 879844 979216 1171562 1338928 1560001 1759688 2343124 3120002 3519376 4100467 4686248 5606761 6240004 8200934 9372496 10920007 11213522 12480008 16401868 21840014 22427044 24960016 32803736 39247327 43680028 44854088 65607472 76440049 78494654 87360056 89708176 104520067 152880098 156989308 174720112 209040134 274731289 305760196 313978616 418080268 549462578 611520392 627957232 731640469 836160536 1098925156 1223040784 1463280938 1672321072 2197850312 2926561876 4395700624 5121483283 5853123752 7002844489 10242966566 11706247504 14005688978 20485933132 28011377956 40971866264 49019911423 56022755912 81943732528 98039822846 112045511824 196079645692 343139379961 392159291384 686278759922 784318582768 1372557519844 2745115039688 5490230079376