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21884132099040 = 253545591941873
BaseRepresentation
bin1001111100111010010111…
…11010111000001111100000
32212111002202210102010101120
410332131023322320033200
510332022200304132130
6114313233111532240
74416035123433351
oct476351372701740
985432683363346
1021884132099040
116a78010062992
12255535b68a080
13c29884754463
145592aa4a3d28
1527e3caa28910
hex13e74beb83e0

21884132099040 has 48 divisors (see below), whose sum is σ = 68935016113488. Its totient is φ = 5835768559616.

The previous prime is 21884132099003. The next prime is 21884132099051. The reversal of 21884132099040 is 4099023148812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22795970457 + ... + 22795971416.

It is an arithmetic number, because the mean of its divisors is an integer number (1436146169031).

Almost surely, 221884132099040 is an apocalyptic number.

21884132099040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21884132099040 is an abundant number, since it is smaller than the sum of its proper divisors (47050884014448).

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

21884132099040 is a wasteful number, since it uses less digits than its factorization.

21884132099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45591941891 (or 45591941883 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 21884132099040 in words is "twenty-one trillion, eight hundred eighty-four billion, one hundred thirty-two million, ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 45591941873 91183883746 136775825619 182367767492 227959709365 273551651238 364735534984 455919418730 547103302476 683879128095 729471069968 911838837460 1094206604952 1367758256190 1458942139936 1823677674920 2188413209904 2735516512380 3647355349840 4376826419808 5471033024760 7294710699680 10942066049520 21884132099040