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35474141274990 = 235116116091095247
BaseRepresentation
bin10000001000011011101111…
…00101101110001101101110
311122121021221220021021001220
420010031313211232031232
514122202020131244430
6203240332344444210
710320631201446135
oct1004156745561556
9148537856237056
1035474141274990
1110337553a391a0
123b8b162179666
1316a4274243362
148a8d5991891c
15417b6cd84110
hex20437796e36e

35474141274990 has 128 divisors (see below), whose sum is σ = 94459094231040. Its totient is φ = 8453546726400.

The previous prime is 35474141274973. The next prime is 35474141275003. The reversal of 35474141274990 is 9947214147453.

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, 31841547 + ... + 32936793.

It is an arithmetic number, because the mean of its divisors is an integer number (737961673680).

Almost surely, 235474141274990 is an apocalyptic number.

35474141274990 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 35474141274990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47229547115520).

35474141274990 is an abundant number, since it is smaller than the sum of its proper divisors (58984952956050).

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

35474141274990 is a wasteful number, since it uses less digits than its factorization.

35474141274990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096938.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 35474141274990 in words is "thirty-five trillion, four hundred seventy-four billion, one hundred forty-one million, two hundred seventy-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1609 1830 2013 3218 3355 4026 4827 6710 8045 9654 10065 16090 17699 20130 24135 35398 48270 53097 88495 98149 106194 176990 196298 265485 294447 490745 530970 588894 981490 1079639 1095247 1472235 2159278 2190494 2944470 3238917 3285741 5398195 5476235 6477834 6571482 10796390 10952470 12047717 16194585 16428705 24095434 32389170 32857410 36143151 60238585 66810067 72286302 120477170 133620134 180715755 200430201 334050335 361431510 400860402 668100670 734910737 1002151005 1469821474 1762252423 2004302010 2204732211 3524504846 3674553685 4409464422 5286757269 7349107370 8811262115 10573514538 11023661055 17622524230 19384776653 22047322110 26433786345 38769553306 52867572690 58154329959 96923883265 107497397803 116308659918 193847766530 214994795606 290771649795 322492193409 537486989015 581543299590 644984386818 1074973978030 1182471375833 1612460967045 2364942751666 3224921934090 3547414127499 5912356879165 7094828254998 11824713758330 17737070637495 35474141274990