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5543612640 = 253256316101
BaseRepresentation
bin1010010100110110…
…01101000011100000
3112022100021200220200
411022123031003200
542323131101030
62314030505200
7254242633656
oct51233150340
915270250820
105543612640
112395252255
1210a8665200
136a4673987
143a836add6
15226a36d60
hex14a6cd0e0

5543612640 has 144 divisors (see below), whose sum is σ = 18950664096. Its totient is φ = 1475712000.

The previous prime is 5543612639. The next prime is 5543612689. The reversal of 5543612640 is 462163455.

5543612640 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 6 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55436126402 = 61463282204735539200, which contains 22 as substring.

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 = 5543612595 and 5543612604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 905590 + ... + 911690.

It is an arithmetic number, because the mean of its divisors is an integer number (131601834).

Almost surely, 25543612640 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 5543612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475332048).

5543612640 is an abundant number, since it is smaller than the sum of its proper divisors (13407051456).

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

5543612640 is a wasteful number, since it uses less digits than its factorization.

5543612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5543612640 is about 74455.4406339792. The cubic root of 5543612640 is about 1769.8275806385.

The spelling of 5543612640 in words is "five billion, five hundred forty-three million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 631 720 1262 1440 1893 2524 3155 3786 5048 5679 6101 6310 7572 9465 10096 11358 12202 12620 15144 18303 18930 20192 22716 24404 25240 28395 30288 30505 36606 37860 45432 48808 50480 54909 56790 60576 61010 73212 75720 90864 91515 97616 100960 109818 113580 122020 146424 151440 181728 183030 195232 219636 227160 244040 274545 292848 302880 366060 439272 454320 488080 549090 585696 732120 878544 908640 976160 1098180 1464240 1757088 2196360 2928480 3849731 4392720 7699462 8785440 11549193 15398924 19248655 23098386 30797848 34647579 38497310 46196772 57745965 61595696 69295158 76994620 92393544 115491930 123191392 138590316 153989240 173237895 184787088 230983860 277180632 307978480 346475790 369574176 461967720 554361264 615956960 692951580 923935440 1108722528 1385903160 1847870880 2771806320 5543612640