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783030326004 = 2232172011763601
BaseRepresentation
bin10110110010100000011…
…11101001001011110100
32202212010201200222112100
423121100033221023310
5100312121230413004
61355415201222100
7110400135644553
oct13312017511364
92685121628470
10783030326004
11282099229533
1210790b331930
1358abb343764
1429c826dbd9a
151557d60a739
hexb6503e92f4

783030326004 has 72 divisors (see below), whose sum is σ = 2095894768968. Its totient is φ = 245640499200.

The previous prime is 783030326003. The next prime is 783030326059. The reversal of 783030326004 is 400623030387.

783030326004 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 can be written as a sum of positive squares in 4 ways, for example, as 262615251600 + 520415074404 = 512460^2 + 721398^2 .

It is a super-2 number, since 2×7830303260042 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 783030326004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783030326003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12279804 + ... + 12343404.

It is an arithmetic number, because the mean of its divisors is an integer number (29109649569).

Almost surely, 2783030326004 is an apocalyptic number.

It is an amenable number.

783030326004 is an abundant number, since it is smaller than the sum of its proper divisors (1312864442964).

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

783030326004 is a wasteful number, since it uses less digits than its factorization.

783030326004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83745 (or 83740 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 783030326004 in words is "seven hundred eighty-three billion, thirty million, three hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20117 40234 60351 63601 80468 120702 127202 181053 190803 241404 254404 341989 362106 381606 572409 683978 724212 763212 1025967 1081217 1144818 1367956 2051934 2162434 2289636 3077901 3243651 4103868 4324868 6155802 6487302 9730953 12311604 12974604 19461906 38923812 1279461317 2558922634 3838383951 5117845268 7676767902 11515151853 15353535804 21750842389 23030303706 43501684778 46060607412 65252527167 87003369556 130505054334 195757581501 261010108668 391515163002 783030326004