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2106148194304 = 21171121214159
BaseRepresentation
bin11110101001100000001…
…101110000100000000000
321110100100002101211020221
4132221200031300200000
5234001342414204204
64251315013112424
7305110213161220
oct36514015604000
97410302354227
102106148194304
11742237826300
122a0228928714
131237bba588bb
1473d1c298080
1539bbbd74654
hex1ea60370800

2106148194304 has 144 divisors (see below), whose sum is σ = 5290192252800. Its totient is φ = 820576542720.

The previous prime is 2106148194251. The next prime is 2106148194389. The reversal of 2106148194304 is 4034918416012.

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, 1127577 + ... + 2341735.

It is an arithmetic number, because the mean of its divisors is an integer number (36737446200).

Almost surely, 22106148194304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106148194304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645096126400).

2106148194304 is an abundant number, since it is smaller than the sum of its proper divisors (3184044058496).

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

2106148194304 is a wasteful number, since it uses less digits than its factorization.

2106148194304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214210 (or 1214179 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 2106148194304 in words is "two trillion, one hundred six billion, one hundred forty-eight million, one hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 512 616 704 847 896 968 1024 1232 1408 1694 1792 1936 2048 2464 2816 3388 3584 3872 4928 5632 6776 7168 7744 9856 11264 13552 14336 15488 19712 22528 27104 30976 39424 54208 61952 78848 108416 123904 157696 216832 247808 433664 867328 1214159 1734656 2428318 4856636 8499113 9713272 13355749 16998226 19426544 26711498 33996452 38853088 53422996 67992904 77706176 93490243 106845992 135985808 146913239 155412352 186980486 213691984 271971616 293826478 310824704 373960972 427383968 543943232 587652956 621649408 747921944 854767936 1028392673 1087886464 1175305912 1243298816 1495843888 1709535872 2056785346 2175772928 2350611824 2486597632 2991687776 3419071744 4113570692 4351545856 4701223648 5983375552 6838143488 8227141384 8703091712 9402447296 11966751104 13676286976 16454282768 17406183424 18804894592 23933502208 27352573952 32908565536 37609789184 47867004416 65817131072 75219578368 95734008832 131634262144 150439156736 191468017664 263268524288 300878313472 526537048576 1053074097152 2106148194304