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555100011090 = 233518126343189
BaseRepresentation
bin10000001001111101000…
…10011111101001010010
31222001210212121021212000
420010332202133221102
533043321100323330
61103002011414430
755050616146162
oct10047642375122
91861725537760
10555100011090
111a4464537349
128b6b9a54416
1340465694c31
141cc1d00a5a2
15e68d0d7560
hex813e89fa52

555100011090 has 128 divisors (see below), whose sum is σ = 1494139046400. Its totient is φ = 146645717760.

The previous prime is 555100011071. The next prime is 555100011107. The reversal of 555100011090 is 90110001555.

555100011090 is a `hidden beast` number, since 5 + 551 + 0 + 0 + 0 + 1 + 109 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12831216 + ... + 12874404.

It is an arithmetic number, because the mean of its divisors is an integer number (11672961300).

Almost surely, 2555100011090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555100011090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747069523200).

555100011090 is an abundant number, since it is smaller than the sum of its proper divisors (939039035310).

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

555100011090 is a wasteful number, since it uses less digits than its factorization.

555100011090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43649 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The spelling of 555100011090 in words is "five hundred fifty-five billion, one hundred million, eleven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 263 270 362 526 543 789 905 1086 1315 1578 1629 1810 2367 2630 2715 3258 3945 4734 4887 5430 7101 7890 8145 9774 11835 14202 16290 23670 24435 35505 43189 47603 48870 71010 86378 95206 129567 142809 215945 238015 259134 285618 388701 428427 431890 476030 647835 714045 777402 856854 1166103 1285281 1295670 1428090 1943505 2142135 2332206 2570562 3887010 4284270 5830515 6426405 7817209 11358707 11661030 12852810 15634418 22717414 23451627 34076121 39086045 46903254 56793535 68152242 70354881 78172090 102228363 113587070 117258135 140709762 170380605 204456726 211064643 234516270 306685089 340761210 351774405 422129286 511141815 613370178 703548810 1022283630 1055323215 1533425445 2055925967 2110646430 3066850890 4111851934 6167777901 10279629835 12335555802 18503333703 20559259670 30838889505 37006667406 55510001109 61677779010 92516668515 111020002218 185033337030 277550005545 555100011090