Search a number
-
+
3256048254640 = 2456110752311923
BaseRepresentation
bin101111011000011011100…
…110010111111010110000
3102112021102121020022011111
4233120123212113322300
5411321341323122030
610531450302123104
7454145624340226
oct57303346277260
912467377208144
103256048254640
11104597839a185
12447063b80494
131a807598169c
14b3844ab8b16
1559a6d52862a
hex2f61b997eb0

3256048254640 has 160 divisors (see below), whose sum is σ = 7781828288256. Its totient is φ = 1266562759680.

The previous prime is 3256048254629. The next prime is 3256048254643. The reversal of 3256048254640 is 464528406523.

It is not an unprimeable number, because it can be changed into a prime (3256048254643) 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, 273083719 + ... + 273095641.

Almost surely, 23256048254640 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 3256048254640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890914144128).

3256048254640 is an abundant number, since it is smaller than the sum of its proper divisors (4525780033616).

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

3256048254640 is a wasteful number, since it uses less digits than its factorization.

3256048254640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12627 (or 12621 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 49.

The spelling of 3256048254640 in words is "three trillion, two hundred fifty-six billion, forty-eight million, two hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 107 122 214 244 305 428 488 523 535 610 856 976 1046 1070 1220 1712 2092 2140 2440 2615 4184 4280 4880 5230 6527 8368 8560 10460 11923 13054 20920 23846 26108 31903 32635 41840 47692 52216 55961 59615 63806 65270 95384 104432 111922 119230 127612 130540 159515 190768 223844 238460 255224 261080 279805 319030 447688 476920 510448 522160 559610 638060 727303 895376 953840 1119220 1275761 1276120 1454606 2238440 2551522 2552240 2909212 3413621 3636515 4476880 5103044 5818424 6235729 6378805 6827242 7273030 10206088 11636848 12471458 12757610 13654484 14546060 17068105 20412176 24942916 25515220 27308968 29092120 31178645 34136210 49885832 51030440 54617936 58184240 62357290 68272420 77821421 99771664 102060880 124714580 136544840 155642842 249429160 273089680 311285684 380379469 389107105 498858320 622571368 667223003 760758938 778214210 1245142736 1334446006 1521517876 1556428420 1901897345 2668892012 3043035752 3112856840 3336115015 3803794690 5337784024 6086071504 6225713680 6672230030 7607589380 10675568048 13344460060 15215178760 26688920120 30430357520 40700603183 53377840240 81401206366 162802412732 203503015915 325604825464 407006031830 651209650928 814012063660 1628024127320 3256048254640