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2190629954016 = 253271086622001
BaseRepresentation
bin11111111000001011101…
…110000110000111100000
321202102101202201212210100
4133320023232012013200
5241342402232012031
64354210030302400
7314160565243530
oct37701356060740
97672352655710
102190629954016
1177504a554829
122b4685657a00
1312b76354ba2a
14780543514c0
153beb3a2bde6
hex1fe0bb861e0

2190629954016 has 72 divisors (see below), whose sum is σ = 7119547357104. Its totient is φ = 625894272000.

The previous prime is 2190629953949. The next prime is 2190629954047. The reversal of 2190629954016 is 6104599260912.

2190629954016 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 6 + 2 + 99 + 540 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543308985 + ... + 543313016.

It is an arithmetic number, because the mean of its divisors is an integer number (98882602182).

Almost surely, 22190629954016 is an apocalyptic number.

It is an amenable number.

2190629954016 is an abundant number, since it is smaller than the sum of its proper divisors (4928917403088).

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

2190629954016 is a wasteful number, since it uses less digits than its factorization.

2190629954016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086622024 (or 1086622013 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2190629954016 in words is "two trillion, one hundred ninety billion, six hundred twenty-nine million, nine hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1086622001 2173244002 3259866003 4346488004 6519732006 7606354007 8692976008 9779598009 13039464012 15212708014 17385952016 19559196018 22819062021 26078928024 30425416028 34771904032 39118392036 45638124042 52157856048 60850832056 68457186063 78236784072 91276248084 104315712096 121701664112 136914372126 156473568144 182552496168 243403328224 273828744252 312947136288 365104992336 547657488504 730209984672 1095314977008 2190629954016