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11434877620 = 22517311377919
BaseRepresentation
bin10101010011001001…
…00110001010110100
31002111220201222011221
422221210212022310
5141404312040440
65130401040124
7553236566425
oct125144461264
932456658157
1011434877620
114938765891
122271626044
13110305b09a
147a695364c
1546dd41d4a
hex2a99262b4

11434877620 has 96 divisors (see below), whose sum is σ = 26440888320. Its totient is φ = 4135096320.

The previous prime is 11434877617. The next prime is 11434877653. The reversal of 11434877620 is 2677843411.

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, 1440021 + ... + 1447939.

It is an arithmetic number, because the mean of its divisors is an integer number (275425920).

Almost surely, 211434877620 is an apocalyptic number.

11434877620 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 11434877620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220444160).

11434877620 is an abundant number, since it is smaller than the sum of its proper divisors (15006010700).

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

11434877620 is a wasteful number, since it uses less digits than its factorization.

11434877620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 11434877620 in words is "eleven billion, four hundred thirty-four million, eight hundred seventy-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 137 155 170 274 310 340 527 548 620 685 1054 1370 2108 2329 2635 2740 4247 4658 5270 7919 8494 9316 10540 11645 15838 16988 21235 23290 31676 39595 42470 46580 72199 79190 84940 134623 144398 158380 245489 269246 288796 360995 490978 538492 673115 721990 981956 1084903 1227445 1346230 1443980 2169806 2454890 2692460 4173313 4339612 4909780 5424515 8346626 10849030 16693252 18443351 20866565 21698060 33631993 36886702 41733130 67263986 73773404 83466260 92216755 134527972 168159965 184433510 336319930 368867020 571743881 672639860 1143487762 2286975524 2858719405 5717438810 11434877620