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1054521226264 = 2311234332513727
BaseRepresentation
bin11110101100001100101…
…11001111010000011000
310201210220101201200120111
433112012113033100120
5114234124413220024
62124235041334104
7136121006346322
oct17260627172030
93653811650514
101054521226264
11377246817180
12150459037334
137859693467c
143907940a612
151c66cedda94
hexf5865cf418

1054521226264 has 128 divisors (see below), whose sum is σ = 2304426516480. Its totient is φ = 447567120000.

The previous prime is 1054521226259. The next prime is 1054521226349. The reversal of 1054521226264 is 4626221254501.

1054521226264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10545212262642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282939169 + ... + 282942895.

It is an arithmetic number, because the mean of its divisors is an integer number (18003332160).

Almost surely, 21054521226264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054521226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152213258240).

1054521226264 is an abundant number, since it is smaller than the sum of its proper divisors (1249905290216).

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

1054521226264 is a wasteful number, since it uses less digits than its factorization.

1054521226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 105452 and 1226264, that added together give a square (1331716 = 11542).

The spelling of 1054521226264 in words is "one trillion, fifty-four billion, five hundred twenty-one million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 43 44 46 86 88 92 172 184 253 344 473 506 946 989 1012 1892 1978 2024 3251 3727 3784 3956 6502 7454 7912 10879 13004 14908 21758 26008 29816 35761 40997 43516 71522 74773 81994 85721 87032 139793 143044 149546 160261 163988 171442 279586 286088 299092 320522 327976 342884 559172 598184 641044 685768 822503 942931 1118344 1282088 1537723 1645006 1762871 1885862 3075446 3215239 3290012 3525742 3686003 3771724 6150892 6430478 6580024 7051484 7372006 7543448 12116477 12301784 12860956 14102968 14744012 24232954 25721912 29488024 35367629 40546033 48465908 70735258 81092066 96931816 133281247 141470516 162184132 266562494 278678971 282941032 324368264 521008511 533124988 557357942 1042017022 1066249976 1114715884 2084034044 2229431768 3065468681 4168068088 5731093621 6130937362 11462187242 11983195753 12261874724 22924374484 23966391506 24523749448 45848748968 47932783012 95865566024 131815153283 263630306566 527260613132 1054521226264