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2100419523468 = 223471948742679
BaseRepresentation
bin11110100100001010110…
…000100111001110001100
321102210112211220012020000
4132210022300213032030
5233403124344222333
64244530331524300
7304515232241040
oct36441260471614
97383484805200
102100419523468
1173a8680770a2
1229b0aa2b9690
131230b7c5c946
1473937518020
1539983e85713
hex1e90ac2738c

2100419523468 has 120 divisors (see below), whose sum is σ = 6605607993600. Its totient is φ = 568534596192.

The previous prime is 2100419523443. The next prime is 2100419523479. The reversal of 2100419523468 is 8643259140012.

2100419523468 is a `hidden beast` number, since 2 + 100 + 4 + 19 + 523 + 4 + 6 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 24328248 + ... + 24414431.

It is an arithmetic number, because the mean of its divisors is an integer number (55046733280).

Almost surely, 22100419523468 is an apocalyptic number.

2100419523468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2100419523468 is an abundant number, since it is smaller than the sum of its proper divisors (4505188470132).

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

2100419523468 is a wasteful number, since it uses less digits than its factorization.

2100419523468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48742721 (or 48742710 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2100419523468 in words is "two trillion, one hundred billion, four hundred nineteen million, five hundred twenty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 21546 43092 48742679 97485358 146228037 194970716 292456074 341198753 438684111 584912148 682397506 877368222 926110901 1023596259 1316052333 1364795012 1754736444 1852221802 2047192518 2632104666 2778332703 3070788777 3704443604 3948156999 4094385036 5264209332 5556665406 6141577554 6482776307 7896313998 8334998109 9212366331 11113330812 12283155108 12965552614 15792627996 16669996218 18424732662 19448328921 25004994327 25931105228 27637098993 33339992436 36849465324 38896657842 50009988654 55274197986 58344986763 75014982981 77793315684 100019977308 110548395972 116689973526 150029965962 175034960289 233379947052 300059931924 350069920578 525104880867 700139841156 1050209761734 2100419523468