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36434103060 = 22354133234457
BaseRepresentation
bin100001111011101001…
…000100101100010100
310111001011012012111110
4201323221010230110
51044104112244220
624423153135020
72426604523545
oct417351045424
9114034165443
1036434103060
11144a7112983
12708985a470
133588382b84
141a98b784cc
15e3390ebe0
hex87ba44b14

36434103060 has 96 divisors (see below), whose sum is σ = 104558573952. Its totient is φ = 9473812480.

The previous prime is 36434103059. The next prime is 36434103067. The reversal of 36434103060 is 6030143463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36434103067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8172352 + ... + 8176808.

It is an arithmetic number, because the mean of its divisors is an integer number (1089151812).

Almost surely, 236434103060 is an apocalyptic number.

36434103060 is a gapful number since it is divisible by the number (30) 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 36434103060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52279286976).

36434103060 is an abundant number, since it is smaller than the sum of its proper divisors (68124470892).

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

36434103060 is a wasteful number, since it uses less digits than its factorization.

36434103060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 36434103060 in words is "thirty-six billion, four hundred thirty-four million, one hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3323 4457 6646 8914 9969 13292 13371 16615 17828 19938 22285 26742 33230 39876 44570 49845 53484 66460 66855 89140 99690 133710 136243 182737 199380 267420 272486 365474 408729 544972 548211 681215 730948 817458 913685 1096422 1362430 1634916 1827370 2043645 2192844 2724860 2741055 3654740 4087290 5482110 8174580 10964220 14810611 29621222 44431833 59242444 74053055 88863666 148106110 177727332 222159165 296212220 444318330 607235051 888636660 1214470102 1821705153 2428940204 3036175255 3643410306 6072350510 7286820612 9108525765 12144701020 18217051530 36434103060