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11605421464 = 2373131917123
BaseRepresentation
bin10101100111011110…
…01010110110011000
31002221210122111100121
422303233022312120
5142231441441324
65155332243024
7560410312000
oct126357126630
932853574317
1011605421464
114a15a59a0a
1222ba770474
13112c4a0ac0
147c1469000
1547dccd5e4
hex2b3bcad98

11605421464 has 128 divisors (see below), whose sum is σ = 28768320000. Its totient is φ = 4349261952.

The previous prime is 11605421461. The next prime is 11605421473. The reversal of 11605421464 is 46412450611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11605421461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669207 + ... + 686329.

It is an arithmetic number, because the mean of its divisors is an integer number (224752500).

Almost surely, 211605421464 is an apocalyptic number.

11605421464 is a gapful number since it is divisible by the number (14) 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 11605421464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384160000).

11605421464 is an abundant number, since it is smaller than the sum of its proper divisors (17162898536).

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

11605421464 is a wasteful number, since it uses less digits than its factorization.

11605421464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17182 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 11605421464 in words is "eleven billion, six hundred five million, four hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 343 364 392 494 532 637 686 728 931 988 1064 1274 1372 1729 1862 1976 2548 2744 3458 3724 4459 5096 6517 6916 7448 8918 12103 13034 13832 17123 17836 24206 26068 34246 35672 48412 52136 68492 84721 96824 119861 136984 169442 222599 239722 325337 338884 445198 479444 650674 677768 839027 890396 958888 1301348 1558193 1678054 1780792 2277359 2602696 3116386 3356108 4229381 4554718 5873189 6232772 6712216 8458762 9109436 10907351 11746378 12465544 15941513 16917524 18218872 21814702 23492756 29605667 31883026 33835048 43629404 46985512 59211334 63766052 76351457 87258808 111590591 118422668 127532104 152702914 207239669 223181182 236845336 305405828 414479338 446362364 610811656 828958676 892724728 1450677683 1657917352 2901355366 5802710732 11605421464