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5506244040 = 23351110340499
BaseRepresentation
bin1010010000011001…
…01001110111001000
3112012201222011211110
411020030221313020
542234044302130
62310213530320
7253310205423
oct51014516710
915181864743
105506244040
112376149710
1210980439a0
136999bba8b
143a34009ba
15223604ab0
hex148329dc8

5506244040 has 128 divisors (see below), whose sum is σ = 18195840000. Its totient is φ = 1321854720.

The previous prime is 5506244039. The next prime is 5506244069. The reversal of 5506244040 is 404426055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5506243989 and 5506244007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115711 + ... + 156209.

It is an arithmetic number, because the mean of its divisors is an integer number (142155000).

Almost surely, 25506244040 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 5506244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097920000).

5506244040 is an abundant number, since it is smaller than the sum of its proper divisors (12689595960).

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

5506244040 is a wasteful number, since it uses less digits than its factorization.

5506244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40627 (or 40623 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5506244040 is about 74204.0702387679. The cubic root of 5506244040 is about 1765.8419040139.

The spelling of 5506244040 in words is "five billion, five hundred six million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 40499 45320 67980 80998 121497 135960 161996 202495 242994 323992 404990 445489 485988 607485 809980 890978 971976 1214970 1336467 1619960 1781956 2227445 2429940 2672934 3563912 4171397 4454890 4859880 5345868 6682335 8342794 8909780 10691736 12514191 13364670 16685588 17819560 20856985 25028382 26729340 33371176 41713970 45885367 50056764 53458680 62570955 83427940 91770734 100113528 125141910 137656101 166855880 183541468 229426835 250283820 275312202 367082936 458853670 500567640 550624404 688280505 917707340 1101248808 1376561010 1835414680 2753122020 5506244040