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16550000352 = 253427123561
BaseRepresentation
bin11110110100111010…
…01111011011100000
31120201101202010110000
433122131033123200
5232343300002402
611334123540000
71124060452614
oct173235173340
946641663400
1016550000352
117023053246
12325a68a600
1317399c6922
14b30021344
1566ce38c1c
hex3da74f6e0

16550000352 has 120 divisors (see below), whose sum is σ = 48854770272. Its totient is φ = 5496076800.

The previous prime is 16550000339. The next prime is 16550000381. The reversal of 16550000352 is 25300005561.

16550000352 is a `hidden beast` number, since 1 + 655 + 0 + 0 + 0 + 0 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 690652 + ... + 714212.

Almost surely, 216550000352 is an apocalyptic number.

16550000352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16550000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427385136).

16550000352 is an abundant number, since it is smaller than the sum of its proper divisors (32304769920).

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

16550000352 is a wasteful number, since it uses less digits than its factorization.

16550000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23854 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 16550000352 in words is "sixteen billion, five hundred fifty million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 432 542 648 813 864 1084 1296 1626 2168 2439 2592 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 21951 23561 26016 29268 39024 43902 47122 58536 70683 78048 87804 94244 117072 141366 175608 188488 212049 234144 282732 351216 376976 424098 565464 636147 702432 753952 848196 1130928 1272294 1696392 1908441 2261856 2544588 3392784 3816882 5089176 6385031 6785568 7633764 10178352 12770062 15267528 19155093 20356704 25540124 30535056 38310186 51080248 57465279 61070112 76620372 102160496 114930558 153240744 172395837 204320992 229861116 306481488 344791674 459722232 517187511 612962976 689583348 919444464 1034375022 1379166696 1838888928 2068750044 2758333392 4137500088 5516666784 8275000176 16550000352