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3625105000 = 235411193469
BaseRepresentation
bin1101100000010010…
…1011011001101000
3100100122021102012011
43120010223121220
524411011330000
61355414325304
7155555612146
oct33004533150
910318242164
103625105000
1115a0306050
12852059834
1345a06005a
14265646596
151633c02ba
hexd812b668

3625105000 has 160 divisors (see below), whose sum is σ = 9756252000. Its totient is φ = 1248480000.

The previous prime is 3625104991. The next prime is 3625105021. The reversal of 3625105000 is 5015263.

It is a happy number.

It is a super-2 number, since 2×36251050002 = 26282772522050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1043266 + ... + 1046734.

It is an arithmetic number, because the mean of its divisors is an integer number (60976575).

Almost surely, 23625105000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878126000).

3625105000 is an abundant number, since it is smaller than the sum of its proper divisors (6131147000).

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

3625105000 is a wasteful number, since it uses less digits than its factorization.

3625105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 3625105000 is about 60208.8448651857. The cubic root of 3625105000 is about 1536.1732445741.

The spelling of 3625105000 in words is "three billion, six hundred twenty-five million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 625 760 836 950 1000 1045 1100 1250 1375 1672 1900 2090 2200 2375 2500 2750 3469 3800 4180 4750 5000 5225 5500 6875 6938 8360 9500 10450 11000 11875 13750 13876 17345 19000 20900 23750 26125 27500 27752 34690 38159 41800 47500 52250 55000 65911 69380 76318 86725 95000 104500 130625 131822 138760 152636 173450 190795 209000 261250 263644 305272 329555 346900 381590 433625 522500 527288 659110 693800 725021 763180 867250 953975 1045000 1318220 1450042 1526360 1647775 1734500 1907950 2168125 2636440 2900084 3295550 3469000 3625105 3815900 4336250 4769875 5800168 6591100 7250210 7631800 8238875 8672500 9539750 13182200 14500420 16477750 17345000 18125525 19079500 23849375 29000840 32955500 36251050 38159000 41194375 47698750 65911000 72502100 82388750 90627625 95397500 145004200 164777500 181255250 190795000 329555000 362510500 453138125 725021000 906276250 1812552500 3625105000