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103398839664484 = 2272132558712
BaseRepresentation
bin10111100000101001101011…
…000110111011111101100100
3111120002211110220210000122011
4113200221223012323331210
5102023041310423230414
61003524434324244004
730531214431462100
oct2740515306737544
9446084426700564
10103398839664484
112aa4522442aa81
12b71b47a240604
134590612a99900
141b7675db44900
15be4993b08dc4
hex5e0a6b1bbf64

103398839664484 has 81 divisors (see below), whose sum is σ = 227931657065721. Its totient is φ = 40904303338080.

The previous prime is 103398839664469. The next prime is 103398839664529. The reversal of 103398839664484 is 484466938893301.

The square root of 103398839664484 is 10168522.

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., 15295686340900 + 88103153323584 = 3910970^2 + 9386328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103398839664484.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1850643069 + ... + 1850698939.

Almost surely, 2103398839664484 is an apocalyptic number.

103398839664484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103398839664484 is the 10168522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103398839664484

103398839664484 is an abundant number, since it is smaller than the sum of its proper divisors (124532817401237).

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

103398839664484 is an frugal number, since it uses more digits than its factorization.

103398839664484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111786 (or 55893 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 76.

The spelling of 103398839664484 in words is "one hundred three trillion, three hundred ninety-eight billion, eight hundred thirty-nine million, six hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 55871 111742 223484 391097 726323 782194 1452646 1564388 2737679 2905292 5084261 5475358 9442199 10168522 10950716 18884398 20337044 35589827 37768796 66095393 71179654 132190786 142359308 264381572 462667751 925335502 1850671004 3121568641 6243137282 12486274564 21850980487 40580392333 43701960974 81160784666 87403921948 152956863409 162321569332 284062746331 305913726818 527545100329 568125492662 611827453636 1055090200658 1136250985324 1988439224317 2110180401316 3692815702303 3976878448634 7385631404606 7953756897268 14771262809212 25849709916121 51699419832242 103398839664484