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2141091679950 = 233522988153077
BaseRepresentation
bin11111001010000011000…
…000100100111011001110
321120200112100201211002000
4133022003000210323032
5240034423432224300
64315334241213130
7310455150665526
oct37120300447316
97520470654060
102141091679950
11756039487263
122a6b5b3311a6
13126b9a353022
14758b5092686
153aa6498ec00
hex1f283024ece

2141091679950 has 96 divisors (see below), whose sum is σ = 5900205681120. Its totient is φ = 570927916800.

The previous prime is 2141091679933. The next prime is 2141091679973. The reversal of 2141091679950 is 599761901412.

It is a happy number.

2141091679950 is a `hidden beast` number, since 2 + 1 + 410 + 91 + 6 + 7 + 99 + 50 = 666.

It is a super-2 number, since 2×21410916799502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 40312812 + ... + 40365888.

It is an arithmetic number, because the mean of its divisors is an integer number (61460475845).

Almost surely, 22141091679950 is an apocalyptic number.

2141091679950 is an abundant number, since it is smaller than the sum of its proper divisors (3759114001170).

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

2141091679950 is a wasteful number, since it uses less digits than its factorization.

2141091679950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82979 (or 82968 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 2141091679950 in words is "two trillion, one hundred forty-one billion, ninety-one million, six hundred seventy-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 29881 53077 59762 89643 106154 149405 159231 179286 265385 268929 298810 318462 448215 477693 530770 537858 747025 796155 806787 896430 955386 1326925 1344645 1433079 1494050 1592310 1613574 2241075 2388465 2653850 2689290 2866158 3980775 4033935 4482150 4776930 6723225 7165395 7961550 8067870 11942325 13446450 14330790 20169675 23884650 35826975 40339350 71653950 1585993837 3171987674 4757981511 7929969185 9515963022 14273944533 15859938370 23789907555 28547889066 39649845925 42821833599 47579815110 71369722665 79299691850 85643667198 118949537775 142739445330 214109167995 237899075550 356848613325 428218335990 713697226650 1070545839975 2141091679950