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241553355023552 = 261113148871772923
BaseRepresentation
bin110110111011000100000101…
…111010111010010011000000
31011200021021102122002020022212
4312323010011322322103000
5223130102232341223202
62213424025050521252
7101610440214254405
oct6673040572722300
91150237378066285
10241553355023552
116aa6a22569a6a0
12231127a9a36228
13a4a24cab18aa0
14439135d8ba2ac
151cdd55531b652
hexdbb105eba4c0

241553355023552 has 112 divisors (see below), whose sum is σ = 563169961036032. Its totient is φ = 101344192865280.

The previous prime is 241553355023509. The next prime is 241553355023569. The reversal of 241553355023552 is 255320553355142.

It is a self number, because there is not a number n which added to its sum of digits gives 241553355023552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135359363 + ... + 137132285.

It is an arithmetic number, because the mean of its divisors is an integer number (5028303223536).

Almost surely, 2241553355023552 is an apocalyptic number.

241553355023552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241553355023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281584980518016).

241553355023552 is an abundant number, since it is smaller than the sum of its proper divisors (321616606012480).

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

241553355023552 is a wasteful number, since it uses less digits than its factorization.

241553355023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787846 (or 1787836 counting only the distinct ones).

The product of its (nonzero) digits is 13500000, while the sum is 50.

The spelling of 241553355023552 in words is "two hundred forty-one trillion, five hundred fifty-three billion, three hundred fifty-five million, twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 14887 29774 59548 119096 163757 193531 238192 327514 387062 476384 655028 774124 952768 1310056 1548248 1772923 2128841 2620112 3096496 3545846 4257682 5240224 6192992 7091692 8515364 10480448 12385984 14183384 17030728 19502153 23047999 28366768 34061456 39004306 46095998 56733536 68122912 78008612 92191996 113467072 136245824 156017224 184383992 253527989 312034448 368767984 507055978 624068896 737535968 1014111956 1248137792 1475071936 2028223912 4056447824 8112895648 16225791296 26393504701 52787009402 105574018804 211148037608 290328551711 343115561113 422296075216 580657103422 686231122226 844592150432 1161314206844 1372462244452 1689184300864 2322628413688 2744924488904 3774271172243 4645256827376 5489848977808 7548542344486 9290513654752 10979697955616 15097084688972 18581027309504 21959395911232 30194169377944 60388338755888 120776677511776 241553355023552