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55385886150 = 232527103170707
BaseRepresentation
bin110011100101010000…
…011000110111000110
312021221221022112110200
4303211100120313012
51401412241324100
641235515431330
74000341156510
oct634520306706
9167857275420
1055385886150
1121541986031
12a898755546
1352b883a9ca
142975b60bb0
151692622e00
hexce5418dc6

55385886150 has 144 divisors (see below), whose sum is σ = 171713128704. Its totient is φ = 12536648640.

The previous prime is 55385886133. The next prime is 55385886173. The reversal of 55385886150 is 5168858355.

It is a happy number.

55385886150 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 588 + 6 + 1 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239097 + ... + 409803.

Almost surely, 255385886150 is an apocalyptic number.

55385886150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55385886150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85856564352).

55385886150 is an abundant number, since it is smaller than the sum of its proper divisors (116327242554).

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

55385886150 is a wasteful number, since it uses less digits than its factorization.

55385886150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170835 (or 170827 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 55385886150 in words is "fifty-five billion, three hundred eighty-five million, eight hundred eighty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 103 105 126 150 175 206 210 225 309 315 350 450 515 525 618 630 721 927 1030 1050 1442 1545 1575 1854 2163 2575 3090 3150 3605 4326 4635 5150 6489 7210 7725 9270 10815 12978 15450 18025 21630 23175 32445 36050 46350 54075 64890 108150 162225 170707 324450 341414 512121 853535 1024242 1194949 1536363 1707070 2389898 2560605 3072726 3584847 4267675 5121210 5974745 7169694 7681815 8535350 10754541 11949490 12803025 15363630 17582821 17924235 21509082 25606050 29873725 35165642 35848470 38409075 52748463 53772705 59747450 76818150 87914105 89621175 105496926 107545410 123079747 158245389 175828210 179242350 246159494 263742315 268863525 316490778 369239241 439570525 527484630 537727050 615398735 738478482 791226945 879141050 1107717723 1230797470 1318711575 1582453890 1846196205 2215435446 2637423150 3076993675 3692392410 3956134725 5538588615 6153987350 7912269450 9230981025 11077177230 18461962050 27692943075 55385886150