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95689413630 = 232521116573041
BaseRepresentation
bin101100100011110001…
…0001001001111111110
3100010222202111212101200
41121013202021033332
53031432442214010
6111543100120330
76625162411206
oct1310742111776
9303882455350
1095689413630
11376441a7828
12166662360a6
13903c754815
1448ba77d406
152750ab3cc0
hex16478893fe

95689413630 has 96 divisors (see below), whose sum is σ = 250204694688. Its totient is φ = 25372569600.

The previous prime is 95689413541. The next prime is 95689413733. The reversal of 95689413630 is 3631498659.

95689413630 is a `hidden beast` number, since 9 + 568 + 9 + 4 + 13 + 63 + 0 = 666.

95689413630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31464910 + ... + 31467950.

It is an arithmetic number, because the mean of its divisors is an integer number (2606298903).

Almost surely, 295689413630 is an apocalyptic number.

95689413630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 95689413630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125102347344).

95689413630 is an abundant number, since it is smaller than the sum of its proper divisors (154515281058).

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

95689413630 is a wasteful number, since it uses less digits than its factorization.

95689413630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 95689413630 in words is "ninety-five billion, six hundred eighty-nine million, four hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1657 1899 2110 3041 3165 3314 3798 4971 6082 6330 8285 9123 9495 9942 14913 15205 16570 18246 18990 24855 27369 29826 30410 45615 49710 54738 74565 91230 136845 149130 273690 349627 641651 699254 1048881 1283302 1748135 1924953 2097762 3146643 3208255 3496270 3849906 5038937 5244405 5774859 6293286 6416510 9624765 10077874 10488810 11549718 15116811 15733215 19249530 25194685 28874295 30233622 31466430 45350433 50389370 57748590 75584055 90700866 151168110 226752165 453504330 1063215707 2126431414 3189647121 5316078535 6379294242 9568941363 10632157070 15948235605 19137882726 31896471210 47844706815 95689413630