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109076971840 = 26513116715581
BaseRepresentation
bin110010110010101111…
…1101000000101000000
3101102112202120021202221
41211211133220011000
53241342201044330
6122035334020424
710611012651154
oct1454537500500
9342482507687
10109076971840
114229411a421
12191817a7714
13a3941cc9b5
1453ca791064
152c8606cb7a
hex19657e8140

109076971840 has 112 divisors (see below), whose sum is σ = 263306381184. Its totient is φ = 43035699200.

The previous prime is 109076971831. The next prime is 109076971841. The reversal of 109076971840 is 48179670901.

It is a super-3 number, since 3×1090769718403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109076971841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6992850 + ... + 7008430.

It is an arithmetic number, because the mean of its divisors is an integer number (2350949832).

Almost surely, 2109076971840 is an apocalyptic number.

109076971840 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 109076971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131653190592).

109076971840 is an abundant number, since it is smaller than the sum of its proper divisors (154229409344).

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

109076971840 is a wasteful number, since it uses less digits than its factorization.

109076971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 109076971840 in words is "one hundred nine billion, seventy-six million, nine hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 167 262 320 334 524 655 668 835 1048 1310 1336 1670 2096 2620 2672 3340 4192 5240 5344 6680 8384 10480 10688 13360 15581 20960 21877 26720 31162 41920 43754 53440 62324 77905 87508 109385 124648 155810 175016 218770 249296 311620 350032 437540 498592 623240 700064 875080 997184 1246480 1400128 1750160 2041111 2492960 2602027 3500320 4082222 4985920 5204054 7000640 8164444 10205555 10408108 13010135 16328888 20411110 20816216 26020270 32657776 40822220 41632432 52040540 65315552 81644440 83264864 104081080 130631104 163288880 166529728 208162160 326577760 340865537 416324320 653155520 681731074 832648640 1363462148 1704327685 2726924296 3408655370 5453848592 6817310740 10907697184 13634621480 21815394368 27269242960 54538485920 109076971840