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11642928276 = 22375311032371
BaseRepresentation
bin10101101011111100…
…01111110010010100
31010001102020001000210
422311332033302110
5142321042201101
65203152205420
7561344154210
oct126576176224
933042201023
1011642928276
114a35147381
12230b239870
1311371a3895
147c642d940
1548223b7d6
hex2b5f8fc94

11642928276 has 96 divisors (see below), whose sum is σ = 31675650048. Its totient is φ = 3259451520.

The previous prime is 11642928263. The next prime is 11642928347. The reversal of 11642928276 is 67282924611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4909371 + ... + 4911741.

It is an arithmetic number, because the mean of its divisors is an integer number (329954688).

Almost surely, 211642928276 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 11642928276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837825024).

11642928276 is an abundant number, since it is smaller than the sum of its proper divisors (20032721772).

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

11642928276 is a wasteful number, since it uses less digits than its factorization.

11642928276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3539 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 11642928276 in words is "eleven billion, six hundred forty-two million, nine hundred twenty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1103 1113 1484 2206 2226 2371 3309 4412 4452 4742 6618 7113 7721 9484 13236 14226 15442 16597 23163 28452 30884 33194 46326 49791 58459 66388 92652 99582 116918 125663 175377 199164 233836 251326 350754 376989 409213 502652 701508 753978 818426 879641 1227639 1507956 1636852 1759282 2455278 2615213 2638923 3518564 4910556 5230426 5277846 7845639 10460852 10555692 15691278 18306491 31382556 36612982 54919473 73225964 109838946 138606289 219677892 277212578 415818867 554425156 831637734 970244023 1663275468 1940488046 2910732069 3880976092 5821464138 11642928276