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354127335990 = 2354711316713309
BaseRepresentation
bin1010010011100111010…
…00100101001000110110
31020212001202001120221220
411021303220211020312
521300223044222430
6430403413451210
734404414455541
oct5116350451066
91225052046856
10354127335990
11127203715a2a
1258770640b06
13275179b507c
14131d5a91858
15932957d110
hex5273a25236

354127335990 has 128 divisors (see below), whose sum is σ = 880979742720. Its totient is φ = 91051419648.

The previous prime is 354127335929. The next prime is 354127336027. The reversal of 354127335990 is 99533721453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26601456 + ... + 26614764.

It is an arithmetic number, because the mean of its divisors is an integer number (6882654240).

Almost surely, 2354127335990 is an apocalyptic number.

354127335990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354127335990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440489871360).

354127335990 is an abundant number, since it is smaller than the sum of its proper divisors (526852406730).

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

354127335990 is a wasteful number, since it uses less digits than its factorization.

354127335990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13646.

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 354127335990 in words is "three hundred fifty-four billion, one hundred twenty-seven million, three hundred thirty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 113 141 167 226 235 282 334 339 470 501 565 678 705 835 1002 1130 1410 1670 1695 2505 3390 5010 5311 7849 10622 13309 15698 15933 18871 23547 26555 26618 31866 37742 39245 39927 47094 53110 56613 66545 78490 79665 79854 94355 113226 117735 133090 159330 188710 199635 235470 283065 399270 566130 625523 886937 1251046 1503917 1773874 1876569 2222603 2660811 3007834 3127615 3753138 4434685 4445206 4511751 5321622 6255230 6667809 7519585 8869370 9023502 9382845 11113015 13304055 13335618 15039170 18765690 22226030 22558755 26608110 33339045 45117510 66678090 70684099 104462341 141368198 208924682 212052297 251154139 313387023 353420495 424104594 502308278 522311705 626774046 706840990 753462417 1044623410 1060261485 1255770695 1506924834 1566935115 2120522970 2511541390 3133870230 3767312085 7534624170 11804244533 23608489066 35412733599 59021222665 70825467198 118042445330 177063667995 354127335990