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11008000377738 = 2337132977245873
BaseRepresentation
bin1010000000101111111111…
…1100111100001110001010
31102222100120110202222101000
42200023333330330032022
52420323341044041423
635225001111235430
72214205340235630
oct240137774741612
942870513688330
1011008000377738
113564515265141
121299511078b76
1361b085a6a090
142a0b0bcdb350
15141523c2b843
hexa02fff3c38a

11008000377738 has 128 divisors (see below), whose sum is σ = 31145536396800. Its totient is φ = 2803098203136.

The previous prime is 11008000377697. The next prime is 11008000377757. The reversal of 11008000377738 is 83777300080011.

It is a junction number, because it is equal to n+sod(n) for n = 11008000377693 and 11008000377702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38480431 + ... + 38765442.

It is an arithmetic number, because the mean of its divisors is an integer number (243324503100).

Almost surely, 211008000377738 is an apocalyptic number.

11008000377738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11008000377738 is an abundant number, since it is smaller than the sum of its proper divisors (20137536019062).

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

11008000377738 is a wasteful number, since it uses less digits than its factorization.

11008000377738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77245933 (or 77245927 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 11008000377738 in words is "eleven trillion, eight billion, three hundred seventy-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 87 91 117 126 174 182 189 203 234 261 273 351 377 378 406 522 546 609 702 754 783 819 1131 1218 1566 1638 1827 2262 2457 2639 3393 3654 4914 5278 5481 6786 7917 10179 10962 15834 20358 23751 47502 71253 142506 77245873 154491746 231737619 463475238 540721111 695212857 1004196349 1081442222 1390425714 1622163333 2008392698 2085638571 2240130317 3012589047 3244326666 4171277142 4480260634 4866489999 6025178094 6720390951 7029374443 9037767141 9732979998 13440781902 14058748886 14599469997 15680912219 18075534282 20161172853 21088123329 27113301423 29121694121 29198939994 31361824438 40322345706 42176246658 47042736657 54226602846 58243388242 60483518559 63264369987 87365082363 94085473314 120967037118 126528739974 141128209971 174730164726 189793109961 203851858847 262095247089 282256419942 379586219922 407703717694 423384629913 524190494178 611555576541 786285741267 846769259826 1223111153082 1572571482534 1834666729623 3669333459246 5504000188869 11008000377738