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36820074960 = 2433517046331
BaseRepresentation
bin100010010010101001…
…011100000111010000
310112001001110121102000
4202102221130013100
51100401414344320
624525341554000
72442302321214
oct422251340720
9115031417360
1036820074960
1114684a77319
127176b75900
13361a322306
141ad412a944
15e57751c90
hex892a5c1d0

36820074960 has 80 divisors (see below), whose sum is σ = 126824710080. Its totient is φ = 9818686080.

The previous prime is 36820074917. The next prime is 36820074983. The reversal of 36820074960 is 6947002863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8521006 + ... + 8525325.

It is an arithmetic number, because the mean of its divisors is an integer number (1585308876).

Almost surely, 236820074960 is an apocalyptic number.

36820074960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36820074960 is an abundant number, since it is smaller than the sum of its proper divisors (90004635120).

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

36820074960 is a wasteful number, since it uses less digits than its factorization.

36820074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046353 (or 17046341 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36820074960 in words is "thirty-six billion, eight hundred twenty million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 17046331 34092662 51138993 68185324 85231655 102277986 136370648 153416979 170463310 204555972 255694965 272741296 306833958 340926620 409111944 460250937 511389930 613667916 681853240 767084895 818223888 920501874 1022779860 1227335832 1363706480 1534169790 1841003748 2045559720 2301254685 2454671664 3068339580 3682007496 4091119440 4602509370 6136679160 7364014992 9205018740 12273358320 18410037480 36820074960