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101728463922 = 23683532
BaseRepresentation
bin101111010111101111…
…1010010110000110010
3100201120122001102000000
41132233133102300302
53131314441321142
6114422230010430
710230632450631
oct1365737226062
9321518042000
10101728463922
113a16307a688
12178707a6a16
139792943a67
144cd0835518
1529a5d6214c
hex17af7d2c32

101728463922 has 42 divisors (see below), whose sum is σ = 228811777677. Its totient is φ = 33905428416.

The previous prime is 101728463857. The next prime is 101728463923. The reversal of 101728463922 is 229364827101.

101728463922 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 2 + 8 + 4 + 639 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99060638121 + 2667825801 = 314739^2 + 51651^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=225531.

It is not an unprimeable number, because it can be changed into a prime (101728463923) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12174498 + ... + 12182850.

Almost surely, 2101728463922 is an apocalyptic number.

101728463922 is an abundant number, since it is smaller than the sum of its proper divisors (127083313755).

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

101728463922 is an frugal number, since it uses more digits than its factorization.

101728463922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16726 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 101728463922 in words is "one hundred one billion, seven hundred twenty-eight million, four hundred sixty-three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 8353 16706 25059 50118 75177 150354 225531 451062 676593 1353186 2029779 4059558 6089337 12178674 69772609 139545218 209317827 418635654 627953481 1255906962 1883860443 3767720886 5651581329 11303162658 16954743987 33909487974 50864231961 101728463922