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3625809216 = 263192934273
BaseRepresentation
bin1101100000011101…
…0111010101000000
3100100200121012012020
43120013113111000
524411201343331
61355441401440
7155564604231
oct33007272500
910320535166
103625809216
1115a0747147
12852339280
1345a248753
1426578b088
151634adc96
hexd81d7540

3625809216 has 112 divisors (see below), whose sum is σ = 10446715200. Its totient is φ = 1105477632.

The previous prime is 3625809203. The next prime is 3625809221. The reversal of 3625809216 is 6129085263.

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, 88656 + ... + 122928.

Almost surely, 23625809216 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 3625809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223357600).

3625809216 is an abundant number, since it is smaller than the sum of its proper divisors (6820905984).

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

3625809216 is a wasteful number, since it uses less digits than its factorization.

3625809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34336 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3625809216 is about 60214.6926920664. The cubic root of 3625809216 is about 1536.2727109100.

The spelling of 3625809216 in words is "three billion, six hundred twenty-five million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2204 2784 3306 3648 4408 5568 6612 8816 13224 17632 26448 34273 35264 52896 68546 102819 105792 137092 205638 274184 411276 548368 651187 822552 993917 1096736 1302374 1645104 1953561 1987834 2193472 2604748 2981751 3290208 3907122 3975668 5209496 5963502 6580416 7814244 7951336 10418992 11927004 15628488 15902672 18884423 20837984 23854008 31256976 31805344 37768846 41675968 47708016 56653269 62513952 63610688 75537692 95416032 113306538 125027904 151075384 190832064 226613076 302150768 453226152 604301536 906452304 1208603072 1812904608 3625809216