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11383972956 = 2234175213967
BaseRepresentation
bin10101001101000100…
…11010010001011100
31002101100221202010000
422212202122101130
5141303244113311
65121342014300
7552051113346
oct124642322134
932340852100
1011383972956
114911a57414
122258577390
1310c5646c95
1479dca2296
15469639056
hex2a689a45c

11383972956 has 120 divisors (see below), whose sum is σ = 31578978816. Its totient is φ = 3563688960.

The previous prime is 11383972933. The next prime is 11383972969. The reversal of 11383972956 is 65927938311.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2867685 + ... + 2871651.

Almost surely, 211383972956 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 11383972956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789489408).

11383972956 is an abundant number, since it is smaller than the sum of its proper divisors (20195005860).

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

11383972956 is a wasteful number, since it uses less digits than its factorization.

11383972956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4510 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 11383972956 in words is "eleven billion, three hundred eighty-three million, nine hundred seventy-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 521 612 918 1042 1377 1563 1836 2084 2754 3126 3967 4689 5508 6252 7934 8857 9378 11901 14067 15868 17714 18756 23802 26571 28134 35428 35703 42201 47604 53142 56268 67439 71406 79713 84402 106284 107109 134878 142812 159426 168804 202317 214218 239139 269756 318852 321327 404634 428436 478278 606951 642654 717417 809268 956556 1213902 1285308 1434834 1820853 2066807 2427804 2869668 3641706 4133614 5462559 6200421 7283412 8267228 10925118 12400842 18601263 21850236 24801684 35135719 37202526 55803789 70271438 74405052 105407157 111607578 140542876 167411367 210814314 223215156 316221471 334822734 421628628 632442942 669645468 948664413 1264885884 1897328826 2845993239 3794657652 5691986478 11383972956