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5955103134864 = 2432132156432
BaseRepresentation
bin101011010101000011111…
…0011101001010010010000
3210002022011101011111021100
41112222013303221102100
51240032022400303424
620355423035224400
71153146002312502
oct126520763512220
923068141144240
105955103134864
1119965aa51a134
1280217bba8100
1334274391c300
1416832b129d72
15a4d8c61cdc9
hex56a87ce9490

5955103134864 has 135 divisors (see below), whose sum is σ = 18047788389657. Its totient is φ = 1832222291328.

The previous prime is 5955103134833. The next prime is 5955103134889. The reversal of 5955103134864 is 4684313015595.

The square root of 5955103134864 is 2440308.

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

5955103134864 is a `hidden beast` number, since 5 + 9 + 5 + 510 + 31 + 34 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 880932416400 + 5074170718464 = 938580^2 + 2252592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5955103134864.

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, 380680227 + ... + 380695869.

Almost surely, 25955103134864 is an apocalyptic number.

5955103134864 is the 2440308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955103134864

5955103134864 is an abundant number, since it is smaller than the sum of its proper divisors (12092685254793).

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

5955103134864 is an equidigital number, since it uses as much as digits as its factorization.

5955103134864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31326 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5955103134864 in words is "five trillion, nine hundred fifty-five billion, one hundred three million, one hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 15643 24336 31286 46929 62572 93858 125144 140787 187716 203359 250288 281574 375432 406718 563148 610077 750864 813436 1126296 1220154 1626872 1830231 2252592 2440308 2643667 3253744 3660462 4880616 5287334 7320924 7931001 9761232 10574668 14641848 15862002 21149336 23793003 29283696 31724004 42298672 47586006 63448008 95172012 126896016 190344024 244703449 380688048 489406898 734110347 978813796 1468220694 1957627592 2202331041 2936441388 3181144837 3915255184 4404662082 5872882776 6362289674 8809324164 9543434511 11745765552 12724579348 17618648328 19086869022 25449158696 28630303533 35237296656 38173738044 41354882881 50898317392 57260607066 76347476088 82709765762 114521214132 124064648643 152694952176 165419531524 229042428264 248129297286 330839063048 372193945929 458084856528 496258594572 661678126096 744387891858 992517189144 1488775783716 1985034378288 2977551567432 5955103134864