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14743620100 = 2252113110771
BaseRepresentation
bin11011011101100100…
…11100101000000100
31102001111201111120201
431232302130220010
5220143331320400
610434554540244
71031234463106
oct155662345004
942044644521
1014743620100
116286431000
122a35737684
13150c6b1781
149dc167576
155b457006a
hex36ec9ca04

14743620100 has 72 divisors (see below), whose sum is σ = 35190935136. Its totient is φ = 5361268000.

The previous prime is 14743620071. The next prime is 14743620109. The reversal of 14743620100 is 102634741.

It is not an unprimeable number, because it can be changed into a prime (14743620109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77715 + ... + 188485.

It is an arithmetic number, because the mean of its divisors is an integer number (488762988).

Almost surely, 214743620100 is an apocalyptic number.

14743620100 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 14743620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595467568).

14743620100 is an abundant number, since it is smaller than the sum of its proper divisors (20447315036).

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

14743620100 is a wasteful number, since it uses less digits than its factorization.

14743620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110818 (or 110789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 14743620100 in words is "fourteen billion, seven hundred forty-three million, six hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 33275 66550 110771 133100 221542 443084 553855 1107710 1218481 2215420 2436962 2769275 4873924 5538550 6092405 11077100 12184810 13403291 24369620 26806582 30462025 53613164 60924050 67016455 121848100 134032910 147436201 268065820 294872402 335082275 589744804 670164550 737181005 1340329100 1474362010 2948724020 3685905025 7371810050 14743620100