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3669528072 = 2337212912417
BaseRepresentation
bin1101101010111000…
…1000111000001000
3100110201212100012010
43122232020320020
530003344344242
61404042415520
7156635321400
oct33256107010
910421770163
103669528072
111613397831
12864b015a0
13466314bb2
1426b4cb800
1516724789c
hexdab88e08

3669528072 has 96 divisors (see below), whose sum is σ = 10684271520. Its totient is φ = 1047191040.

The previous prime is 3669528019. The next prime is 3669528089. The reversal of 3669528072 is 2708259663.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1517008 + ... + 1519424.

It is an arithmetic number, because the mean of its divisors is an integer number (111294495).

Almost surely, 23669528072 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 3669528072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342135760).

3669528072 is an abundant number, since it is smaller than the sum of its proper divisors (7014743448).

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

3669528072 is a wasteful number, since it uses less digits than its factorization.

3669528072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3669528072 is about 60576.6297510847. The cubic root of 3669528072 is about 1542.4226880687.

The spelling of 3669528072 in words is "three billion, six hundred sixty-nine million, five hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1291 2417 2582 3873 4834 5164 7251 7746 9037 9668 10328 14502 15492 16919 18074 19336 27111 29004 30984 33838 36148 50757 54222 58008 63259 67676 72296 101514 108444 118433 126518 135352 189777 203028 216888 236866 253036 355299 379554 406056 473732 506072 710598 759108 947464 1421196 1518216 2842392 3120347 6240694 9361041 12481388 18722082 21842429 24962776 37444164 43684858 65527287 74888328 87369716 131054574 152897003 174739432 262109148 305794006 458691009 524218296 611588012 917382018 1223176024 1834764036 3669528072