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11379800506840 = 23523241155333049
BaseRepresentation
bin1010010110011001000011…
…1101111000000111011000
31111021220020212022110212221
42211212100331320013120
52442421312412204330
640111450322313424
72253110031213613
oct245462075700730
944256225273787
1011379800506840
113698167796107
1213395941b8874
13647158c4a07c
142b4adcb6317a
1514b034a7cb7a
hexa5990f781d8

11379800506840 has 128 divisors (see below), whose sum is σ = 26846742384000. Its totient is φ = 4333021102080.

The previous prime is 11379800506831. The next prime is 11379800506871. The reversal of 11379800506840 is 4860500897311.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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, 344314636 + ... + 344347684.

It is an arithmetic number, because the mean of its divisors is an integer number (209740174875).

Almost surely, 211379800506840 is an apocalyptic number.

11379800506840 is a gapful number since it is divisible by the number (10) 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 11379800506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423371192000).

11379800506840 is an abundant number, since it is smaller than the sum of its proper divisors (15466941877160).

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

11379800506840 is a wasteful number, since it uses less digits than its factorization.

11379800506840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34877 (or 34873 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 11379800506840 in words is "eleven trillion, three hundred seventy-nine billion, eight hundred million, five hundred six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 241 460 482 920 964 1205 1553 1928 2410 3106 4820 5543 6212 7765 9640 11086 12424 15530 22172 27715 31060 33049 35719 44344 55430 62120 66098 71438 110860 132196 142876 165245 178595 221720 264392 285752 330490 357190 374273 660980 714380 748546 760127 1321960 1428760 1497092 1520254 1871365 2994184 3040508 3742730 3800635 6081016 7485460 7601270 7964809 8608279 14970920 15202540 15929618 17216558 30405080 31859236 34433116 39824045 43041395 51325097 63718472 68866232 79648090 86082790 102650194 159296180 172165580 183190607 205300388 256625485 318592360 344331160 366381214 410600776 513250970 732762428 915953035 1026501940 1180477231 1465524856 1831906070 2053003880 2360954462 3663812140 4721908924 5902386155 7327624280 9443817848 11804772310 12369348377 23609544620 24738696754 47219089240 49477393508 61846741885 98954787016 123693483770 247386967540 284495012671 494773935080 568990025342 1137980050684 1422475063355 2275960101368 2844950126710 5689900253420 11379800506840