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11373711630 = 2356755710159
BaseRepresentation
bin10101001011110110…
…10001000100001110
31002100122122102012220
422211323101010032
5141243132233010
65120334040210
7551564645061
oct124573210416
932318572186
1011373711630
114907188986
122255049066
1310c34934a8
1479c7908d8
154687ad970
hex2a5ed110e

11373711630 has 64 divisors (see below), whose sum is σ = 27756794880. Its totient is φ = 2982063744.

The previous prime is 11373711617. The next prime is 11373711631. The reversal of 11373711630 is 3611737311.

It is a super-2 number, since 2×113737116302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11373711591 and 11373711600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11373711631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114491 + ... + 1124649.

It is an arithmetic number, because the mean of its divisors is an integer number (433699920).

Almost surely, 211373711630 is an apocalyptic number.

11373711630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11373711630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13878397440).

11373711630 is an abundant number, since it is smaller than the sum of its proper divisors (16383083250).

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

11373711630 is a wasteful number, since it uses less digits than its factorization.

11373711630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793.

The product of its (nonzero) digits is 7938, while the sum is 33.

It can be divided in two parts, 11373 and 711630, that added together give a triangular number (723003 = T1202).

The spelling of 11373711630 in words is "eleven billion, three hundred seventy-three million, seven hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 557 670 1005 1114 1671 2010 2785 3342 5570 8355 10159 16710 20318 30477 37319 50795 60954 74638 101590 111957 152385 186595 223914 304770 373190 559785 680653 1119570 1361306 2041959 3403265 4083918 5658563 6806530 10209795 11317126 16975689 20419590 28292815 33951378 56585630 84878445 169756890 379123721 758247442 1137371163 1895618605 2274742326 3791237210 5686855815 11373711630