Search a number
-
+
454572049806 = 232741162754083
BaseRepresentation
bin1101001110101101001…
…10110000010110001110
31121110022220111201212200
412213112212300112032
524421430421043211
6544454424342330
744561501446020
oct6472646602616
91543286451780
10454572049806
11165868087106
12741233149a6
1333b34690384
1418003bd6010
15bc5785eb56
hex69d69b058e

454572049806 has 96 divisors (see below), whose sum is σ = 1153790846208. Its totient is φ = 126629758080.

The previous prime is 454572049787. The next prime is 454572049853. The reversal of 454572049806 is 608940275454.

454572049806 is a `hidden beast` number, since 4 + 545 + 7 + 2 + 0 + 4 + 98 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8378041 + ... + 8432123.

It is an arithmetic number, because the mean of its divisors is an integer number (12018654648).

Almost surely, 2454572049806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454572049806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576895423104).

454572049806 is an abundant number, since it is smaller than the sum of its proper divisors (699218796402).

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

454572049806 is a wasteful number, since it uses less digits than its factorization.

454572049806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55766 (or 55763 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 454572049806 in words is "four hundred fifty-four billion, five hundred seventy-two million, forty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1627 1722 2583 3254 4881 5166 9762 11389 14643 22778 29286 34167 54083 66707 68334 102501 108166 133414 162249 200121 205002 324498 378581 400242 466949 486747 600363 757162 933898 973494 1135743 1200726 1400847 2217403 2271486 2801694 3407229 4202541 4434806 6652209 6814458 8405082 13304418 15521821 19956627 31043642 39913254 46565463 87993041 93130926 139696389 175986082 263979123 279392778 527958246 615951287 791937369 1231902574 1583874738 1847853861 3607714681 3695707722 5543561583 7215429362 10823144043 11087123166 21646288086 25254002767 32469432129 50508005534 64938864258 75762008301 151524016602 227286024903 454572049806