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3317216652 = 2234731391009
BaseRepresentation
bin1100010110111000…
…1011010110001100
322120011221001210000
43011232023112030
523243201413102
61305055244300
7145126606401
oct30556132614
98504831700
103317216652
111452533a72
12786b19690
1340b32c8b9
142367bc2a8
1514635401c
hexc5b8b58c

3317216652 has 120 divisors (see below), whose sum is σ = 8862669200. Its totient is φ = 1081672704.

The previous prime is 3317216641. The next prime is 3317216657. The reversal of 3317216652 is 2566127133.

3317216652 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33172166522 = 22007852632612178208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3317216657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3287124 + ... + 3288132.

Almost surely, 23317216652 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 3317216652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431334600).

3317216652 is an abundant number, since it is smaller than the sum of its proper divisors (5545452548).

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

3317216652 is a wasteful number, since it uses less digits than its factorization.

3317216652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1226 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3317216652 is about 57595.2832443769. The cubic root of 3317216652 is about 1491.3901792110.

The spelling of 3317216652 in words is "three billion, three hundred seventeen million, two hundred sixteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 139 146 162 219 278 292 324 417 438 556 657 834 876 1009 1251 1314 1668 1971 2018 2502 2628 3027 3753 3942 4036 5004 5913 6054 7506 7884 9081 10147 11259 11826 12108 15012 18162 20294 22518 23652 27243 30441 36324 40588 45036 54486 60882 73657 81729 91323 108972 121764 140251 147314 163458 182646 220971 273969 280502 294628 326916 365292 420753 441942 547938 561004 662913 821907 841506 883884 1095876 1262259 1325826 1643814 1683012 1988739 2524518 2651652 3287628 3786777 3977478 5049036 5966217 7573554 7954956 10238323 11360331 11932434 15147108 20476646 22720662 23864868 30714969 40953292 45441324 61429938 92144907 122859876 184289814 276434721 368579628 552869442 829304163 1105738884 1658608326 3317216652