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1063342274088 = 233474318832477
BaseRepresentation
bin11110111100101000010…
…00110111011000101000
310202122200011002100100110
433132110020313120220
5114410211110232323
62132254231134320
7136552420125033
oct17362410673050
93678604070313
101063342274088
1137aa62aa0a46
121520bb2143a0
13793712b99b3
1439674b5c01a
151c9d761c793
hexf794237628

1063342274088 has 128 divisors (see below), whose sum is σ = 2725397176320. Its totient is φ = 345569575680.

The previous prime is 1063342274069. The next prime is 1063342274161. The reversal of 1063342274088 is 8804722433601.

1063342274088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10633422740882 (a number of 25 digits) contains 22 as substring.

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, 429285106 + ... + 429287582.

It is an arithmetic number, because the mean of its divisors is an integer number (21292165440).

Almost surely, 21063342274088 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 1063342274088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362698588160).

1063342274088 is an abundant number, since it is smaller than the sum of its proper divisors (1662054902232).

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

1063342274088 is a wasteful number, since it uses less digits than its factorization.

1063342274088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

It can be divided in two parts, 1063342 and 274088, that added together give a triangular number (1337430 = T1635).

The spelling of 1063342274088 in words is "one trillion, sixty-three billion, three hundred forty-two million, two hundred seventy-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 431 564 862 883 1128 1293 1724 1766 2477 2586 2649 3448 3532 4954 5172 5298 7064 7431 9908 10344 10596 14862 19816 20257 21192 29724 40514 41501 59448 60771 81028 83002 116419 121542 124503 162056 166004 232838 243084 249006 332008 349257 380573 465676 486168 498012 698514 761146 931352 996024 1067587 1141719 1397028 1522292 2135174 2187191 2283438 2794056 3044584 3202761 4270348 4374382 4566876 6405522 6561573 8540696 8748764 9133752 12811044 13123146 17497528 17886931 25622088 26246292 35773862 50176589 52492584 53660793 71547724 100353178 102797977 107321586 143095448 150529767 200706356 205595954 214643172 301059534 308393931 401412712 411191908 429286344 602119068 616787862 822383816 942679321 1204238136 1233575724 1885358642 2467151448 2828037963 3770717284 5656075926 7541434568 11312151852 22624303704 44305928087 88611856174 132917784261 177223712348 265835568522 354447424696 531671137044 1063342274088