Search a number
-
+
46036245456 = 2433313898837
BaseRepresentation
bin101010110111111110…
…010101101111010000
311101211100022120121000
4222313332111233100
51223240234323311
633052044302000
73216551426025
oct526776255720
9141740276530
1046036245456
1118584295653
128b09541900
1344587cbc36
14232a13354c
1512e68ce056
hexab7f95bd0

46036245456 has 160 divisors (see below), whose sum is σ = 136769817600. Its totient is φ = 14810549760.

The previous prime is 46036245449. The next prime is 46036245467. The reversal of 46036245456 is 65454263064.

It is a happy number.

46036245456 is a `hidden beast` number, since 46 + 0 + 3 + 62 + 4 + 545 + 6 = 666.

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, 5205070 + ... + 5213906.

It is an arithmetic number, because the mean of its divisors is an integer number (854811360).

Almost surely, 246036245456 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 46036245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68384908800).

46036245456 is an abundant number, since it is smaller than the sum of its proper divisors (90733572144).

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

46036245456 is a wasteful number, since it uses less digits than its factorization.

46036245456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 46036245456 in words is "forty-six billion, thirty-six million, two hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 389 432 496 558 744 778 837 1116 1167 1488 1556 1674 2232 2334 3112 3348 3501 4464 4668 6224 6696 7002 8837 9336 10503 12059 13392 14004 17674 18672 21006 24118 26511 28008 35348 36177 42012 48236 53022 56016 70696 72354 79533 84024 96472 106044 108531 141392 144708 159066 168048 192944 212088 217062 238599 273947 289416 318132 325593 424176 434124 477198 547894 578832 636264 651186 821841 868248 954396 1095788 1272528 1302372 1643682 1736496 1908792 2191576 2465523 2604744 3287364 3437593 3817584 4383152 4931046 5209488 6574728 6875186 7396569 9862092 10312779 13149456 13750372 14793138 19724184 20625558 27500744 29586276 30938337 39448368 41251116 55001488 59172552 61876674 82502232 92815011 106565383 118345104 123753348 165004464 185630022 213130766 247506696 319696149 371260044 426261532 495013392 639392298 742520088 852523064 959088447 1278784596 1485040176 1705046128 1918176894 2557569192 2877265341 3836353788 5115138384 5754530682 7672707576 11509061364 15345415152 23018122728 46036245456