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11612606076 = 223231137151503
BaseRepresentation
bin10101101000010101…
…00100111001111100
31002222022011111210100
422310022210321330
5142240311343301
65200150241100
7560525344251
oct126412447174
932868144710
1011612606076
114a1a016905
122301056190
131130b18056
147c23b9428
1547e74c286
hex2b42a4e7c

11612606076 has 144 divisors (see below), whose sum is σ = 30785384448. Its totient is φ = 3686688000.

The previous prime is 11612606059. The next prime is 11612606081. The reversal of 11612606076 is 67060621611.

11612606076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11612606076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23086441 + ... + 23086943.

It is an arithmetic number, because the mean of its divisors is an integer number (213787392).

Almost surely, 211612606076 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 11612606076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15392692224).

11612606076 is an abundant number, since it is smaller than the sum of its proper divisors (19172778372).

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

11612606076 is a wasteful number, since it uses less digits than its factorization.

11612606076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11612606076 in words is "eleven billion, six hundred twelve million, six hundred six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 137 151 186 274 279 302 372 411 453 503 548 558 604 822 906 1006 1116 1233 1359 1509 1644 1812 2012 2466 2718 3018 4247 4527 4681 4932 5436 6036 8494 9054 9362 12741 14043 15593 16988 18108 18724 20687 25482 28086 31186 38223 41374 42129 46779 50964 56172 62061 62372 68911 75953 76446 82748 84258 93558 124122 137822 140337 151906 152892 168516 186183 187116 206733 227859 248244 275644 280674 303812 372366 413466 455718 561348 620199 641297 683577 744732 826932 911436 1240398 1282594 1367154 1923891 2136241 2354543 2480796 2565188 2734308 3847782 4272482 4709086 5771673 6408723 7063629 7695564 8544964 9418172 10405561 11543346 12817446 14127258 19226169 20811122 21190887 23086692 25634892 28254516 31216683 38452338 41622244 42381774 62433366 76904676 84763548 93650049 124866732 187300098 322572391 374600196 645144782 967717173 1290289564 1935434346 2903151519 3870868692 5806303038 11612606076