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20453554224 = 24328914910711
BaseRepresentation
bin10011000011001000…
…000111100000110000
31221210102222012200100
4103003020013200300
5313342102213344
613221330352400
71322600225265
oct230310074060
957712865610
1020453554224
118746553024
123b69a2b700
131c0c64a30c
14dc062b26c
157ea9ac569
hex4c3207830

20453554224 has 120 divisors (see below), whose sum is σ = 58278636000. Its totient is φ = 6695377920.

The previous prime is 20453554189. The next prime is 20453554229. The reversal of 20453554224 is 42245535402.

20453554224 is a `hidden beast` number, since 20 + 45 + 35 + 542 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20453554229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904229 + ... + 1914939.

It is an arithmetic number, because the mean of its divisors is an integer number (485655300).

Almost surely, 220453554224 is an apocalyptic number.

20453554224 is a gapful number since it is divisible by the number (24) 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 20453554224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29139318000).

20453554224 is an abundant number, since it is smaller than the sum of its proper divisors (37825081776).

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

20453554224 is a wasteful number, since it uses less digits than its factorization.

20453554224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 20453554224 in words is "twenty billion, four hundred fifty-three million, five hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 149 178 267 298 356 447 534 596 712 801 894 1068 1192 1341 1424 1602 1788 2136 2384 2682 3204 3576 4272 5364 6408 7152 10711 10728 12816 13261 21422 21456 26522 32133 39783 42844 53044 64266 79566 85688 96399 106088 119349 128532 159132 171376 192798 212176 238698 257064 318264 385596 477396 514128 636528 771192 953279 954792 1542384 1595939 1906558 1909584 2859837 3191878 3813116 4787817 5719674 6383756 7626232 8579511 9575634 11439348 12767512 14363451 15252464 17159022 19151268 22878696 25535024 28726902 34318044 38302536 45757392 57453804 68636088 76605072 114907608 137272176 142038571 229815216 284077142 426115713 568154284 852231426 1136308568 1278347139 1704462852 2272617136 2556694278 3408925704 5113388556 6817851408 10226777112 20453554224