Search a number
-
+
20331458448 = 24371712728027
BaseRepresentation
bin10010111011110110…
…010110111110010000
31221110221020002202120
4102323312112332100
5313114323132243
613201245414240
71316555355030
oct227366267620
957427202676
1020331458448
11869363a724
123b34b6a380
131bc026b4b2
14dac3278c0
157dede0c83
hex4bbd96f90

20331458448 has 160 divisors (see below), whose sum is σ = 64059899904. Its totient is φ = 5424039936.

The previous prime is 20331458437. The next prime is 20331458461. The reversal of 20331458448 is 84485413302.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 711411 + ... + 739437.

Almost surely, 220331458448 is an apocalyptic number.

20331458448 is a gapful number since it is divisible by the number (28) 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 20331458448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32029949952).

20331458448 is an abundant number, since it is smaller than the sum of its proper divisors (43728441456).

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

20331458448 is a wasteful number, since it uses less digits than its factorization.

20331458448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 20331458448 in words is "twenty billion, three hundred thirty-one million, four hundred fifty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 127 136 168 204 238 254 272 336 357 381 408 476 508 714 762 816 889 952 1016 1428 1524 1778 1904 2032 2159 2667 2856 3048 3556 4318 5334 5712 6096 6477 7112 8636 10668 12954 14224 15113 17272 21336 25908 28027 30226 34544 42672 45339 51816 56054 60452 84081 90678 103632 112108 120904 168162 181356 196189 224216 241808 336324 362712 392378 448432 476459 588567 672648 725424 784756 952918 1177134 1345296 1429377 1569512 1905836 2354268 2858754 3139024 3335213 3559429 3811672 4708536 5717508 6670426 7118858 7623344 9417072 10005639 10678287 11435016 13340852 14237716 20011278 21356574 22870032 24916003 26681704 28475432 40022556 42713148 49832006 53363408 56950864 60510293 74748009 80045112 85426296 99664012 121020586 149496018 160090224 170852592 181530879 199328024 242041172 298992036 363061758 398656048 423572051 484082344 597984072 726123516 847144102 968164688 1195968144 1270716153 1452247032 1694288204 2541432306 2904494064 3388576408 5082864612 6777152816 10165729224 20331458448