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3454561638072 = 233426947197837
BaseRepresentation
bin110010010001010011111…
…010110101011010111000
3110020020211100012001010000
4302101103322311122320
5423044420234404242
611203000444553000
7504404154300156
oct62212372653270
913206740161100
103454561638072
111112086a91346
12479625852760
131c09c0cb618c
14bd2b757c3d6
155ecdb1e8a4c
hex32453eb56b8

3454561638072 has 80 divisors (see below), whose sum is σ = 9676379239560. Its totient is φ = 1151471992896.

The previous prime is 3454561638013. The next prime is 3454561638247. The reversal of 3454561638072 is 2708361654543.

3454561638072 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 561 + 6 + 3 + 8 + 0 + 72 = 666.

It is a super-2 number, since 2×34545616380722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17362738 + ... + 17560574.

Almost surely, 23454561638072 is an apocalyptic number.

It is an amenable number.

3454561638072 is an abundant number, since it is smaller than the sum of its proper divisors (6221817601488).

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

3454561638072 is a wasteful number, since it uses less digits than its factorization.

3454561638072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224802 (or 224789 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3454561638072 in words is "three trillion, four hundred fifty-four billion, five hundred sixty-one million, six hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 26947 53894 80841 107788 161682 197837 215576 242523 323364 395674 485046 593511 646728 727569 791348 970092 1187022 1455138 1582696 1780533 1940184 2182707 2374044 2910276 3561066 4365414 4748088 5341599 5820552 7122132 8730828 10683198 14244264 16024797 17461656 21366396 32049594 42732792 64099188 128198376 5331113639 10662227278 15993340917 21324454556 31986681834 42648909112 47980022751 63973363668 95960045502 127946727336 143940068253 191920091004 287880136506 383840182008 431820204759 575760273012 863640409518 1151520546024 1727280819036 3454561638072