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553515322140 = 22325111747160019
BaseRepresentation
bin10000000111000000001…
…01011000101100011100
31221220201102201202021200
420003200011120230130
533032044410302030
61102140442155500
754663424415604
oct10034005305434
91856642652250
10553515322140
111a3820a73060
128b3371b2b90
1340272290271
141cb0c77dc04
15e5e8e0ed60
hex80e0158b1c

553515322140 has 144 divisors (see below), whose sum is σ = 1832692417920. Its totient is φ = 134107885440.

The previous prime is 553515322123. The next prime is 553515322159. The reversal of 553515322140 is 41223515355.

553515322140 is a `hidden beast` number, since 5 + 53 + 51 + 532 + 21 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 553515322095 and 553515322104.

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, 3379051 + ... + 3539069.

It is an arithmetic number, because the mean of its divisors is an integer number (12727030680).

Almost surely, 2553515322140 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 553515322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916346208960).

553515322140 is an abundant number, since it is smaller than the sum of its proper divisors (1279177095780).

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

553515322140 is a wasteful number, since it uses less digits than its factorization.

553515322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161792 (or 161787 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 553515322140 its reverse (41223515355), we get a palindrome (594738837495).

The spelling of 553515322140 in words is "five hundred fifty-three billion, five hundred fifteen million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1747 1980 3494 5241 6988 8735 10482 15723 17470 19217 20964 26205 31446 34940 38434 52410 57651 62892 76868 78615 96085 104820 115302 157230 160019 172953 192170 230604 288255 314460 320038 345906 384340 480057 576510 640076 691812 800095 864765 960114 1153020 1440171 1600190 1729530 1760209 1920228 2400285 2880342 3200380 3459060 3520418 4800570 5280627 5760684 7040836 7200855 8801045 9601140 10561254 14401710 15841881 17602090 21122508 26403135 28803420 31683762 35204180 52806270 63367524 79209405 105612540 158418810 279553193 316837620 559106386 838659579 1118212772 1397765965 1677319158 2515978737 2795531930 3075085123 3354638316 4193297895 5031957474 5591063860 6150170246 8386595790 9225255369 10063914948 12300340492 12579893685 15375425615 16773191580 18450510738 25159787370 27675766107 30750851230 36901021476 46126276845 50319574740 55351532214 61501702460 92252553690 110703064428 138378830535 184505107380 276757661070 553515322140