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11671486160 = 2452329534127
BaseRepresentation
bin10101101111010110…
…01011111011010000
31010010101221221002012
422313223023323100
5142400400024120
65210052242052
7562141665305
oct126753137320
933111857065
1011671486160
114a4a282334
122318910328
131140092339
147ca1450ac
154849cd1c5
hex2b7acbed0

11671486160 has 160 divisors (see below), whose sum is σ = 29852375040. Its totient is φ = 4229249024.

The previous prime is 11671486139. The next prime is 11671486163. The reversal of 11671486160 is 6168417611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11671486163) 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, 2826017 + ... + 2830143.

It is an arithmetic number, because the mean of its divisors is an integer number (186577344).

Almost surely, 211671486160 is an apocalyptic number.

11671486160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11671486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926187520).

11671486160 is an abundant number, since it is smaller than the sum of its proper divisors (18180888880).

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

11671486160 is a wasteful number, since it uses less digits than its factorization.

11671486160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 11671486160 in words is "eleven billion, six hundred seventy-one million, four hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 53 58 80 92 106 115 116 145 184 212 230 232 265 290 368 424 460 464 530 580 667 848 920 1060 1160 1219 1334 1537 1840 2120 2320 2438 2668 3074 3335 4127 4240 4876 5336 6095 6148 6670 7685 8254 9752 10672 12190 12296 13340 15370 16508 19504 20635 24380 24592 26680 30740 33016 35351 41270 48760 53360 61480 66032 70702 82540 94921 97520 119683 122960 141404 165080 176755 189842 218731 239366 282808 330160 353510 379684 437462 474605 478732 565616 598415 707020 759368 874924 949210 957464 1093655 1196830 1414040 1518736 1749848 1898420 1914928 2187310 2393660 2752709 2828080 3499696 3796840 4374620 4787320 5030813 5505418 6343199 7593680 8749240 9574640 10061626 11010836 12686398 13763545 17498480 20123252 22021672 25154065 25372796 27527090 31715995 40246504 44043344 50308130 50745592 55054180 63431990 80493008 100616260 101491184 110108360 126863980 145893577 201232520 220216720 253727960 291787154 402465040 507455920 583574308 729467885 1167148616 1458935770 2334297232 2917871540 5835743080 11671486160