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5506102440 = 2333510914673
BaseRepresentation
bin1010010000011000…
…00111010010101000
3112012201200222121000
411020030013102220
542234030234230
62310210515000
7253306045536
oct51014072250
915181628530
105506102440
112376062293
121097b95a60
1369996c4a7
143a33a5156
152235c7b60
hex1483074a8

5506102440 has 128 divisors (see below), whose sum is σ = 18374428800. Its totient is φ = 1466634240.

The previous prime is 5506102387. The next prime is 5506102451. The reversal of 5506102440 is 442016055.

5506102440 is a `hidden beast` number, since 5 + 5 + 0 + 610 + 2 + 4 + 40 = 666.

It is a super-3 number, since 3×55061024403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1175944 + ... + 1180616.

It is an arithmetic number, because the mean of its divisors is an integer number (143550225).

Almost surely, 25506102440 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 5506102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187214400).

5506102440 is an abundant number, since it is smaller than the sum of its proper divisors (12868326360).

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

5506102440 is a wasteful number, since it uses less digits than its factorization.

5506102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5506102440 is about 74203.1161070746. The cubic root of 5506102440 is about 1765.8267669346.

Adding to 5506102440 its reverse (442016055), we get a palindrome (5948118495).

The spelling of 5506102440 in words is "five billion, five hundred six million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1091 2182 3273 4364 4673 5455 6546 8728 9346 9819 10910 13092 14019 16365 18692 19638 21820 23365 26184 28038 29457 32730 37384 39276 42057 43640 46730 49095 56076 58914 65460 70095 78552 84114 93460 98190 112152 117828 126171 130920 140190 147285 168228 186920 196380 210285 235656 252342 280380 294570 336456 392760 420570 504684 560760 589140 630855 841140 1009368 1178280 1261710 1682280 2523420 5046840 5098243 10196486 15294729 20392972 25491215 30589458 40785944 45884187 50982430 61178916 76473645 91768374 101964860 122357832 137652561 152947290 183536748 203929720 229420935 275305122 305894580 367073496 458841870 550610244 611789160 688262805 917683740 1101220488 1376525610 1835367480 2753051220 5506102440