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2107096656 = 2437192391381
BaseRepresentation
bin111110110010111…
…1011111001010000
312102211212121012220
41331211323321100
513303404043111
6545030221040
7103134011640
oct17545737120
95384777186
102107096656
119914459a5
124a97b4780
13277704072
1415dbb6520
15c4eb9e06
hex7d97be50

2107096656 has 160 divisors (see below), whose sum is σ = 6580531200. Its totient is φ = 567544320.

The previous prime is 2107096597. The next prime is 2107096669. The reversal of 2107096656 is 6566907012.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1525086 + ... + 1526466.

It is an arithmetic number, because the mean of its divisors is an integer number (41128320).

Almost surely, 22107096656 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 2107096656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290265600).

2107096656 is an abundant number, since it is smaller than the sum of its proper divisors (4473434544).

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

2107096656 is a wasteful number, since it uses less digits than its factorization.

2107096656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2107096656 is about 45903.1225081693. The cubic root of 2107096656 is about 1282.0200557771.

The spelling of 2107096656 in words is "two billion, one hundred seven million, ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 239 266 304 336 399 456 478 532 717 798 912 956 1064 1381 1434 1596 1673 1912 2128 2762 2868 3192 3346 3824 4143 4541 5019 5524 5736 6384 6692 8286 9082 9667 10038 11048 11472 13384 13623 16572 18164 19334 20076 22096 26239 26768 27246 29001 31787 33144 36328 38668 40152 52478 54492 58002 63574 66288 72656 77336 78717 80304 95361 104956 108984 116004 127148 154672 157434 183673 190722 209912 217968 232008 254296 314868 330059 367346 381444 419824 464016 508592 551019 629736 660118 734692 762888 990177 1102038 1259472 1320236 1469384 1525776 1980354 2204076 2310413 2640472 2938768 3960708 4408152 4620826 5280944 6271121 6931239 7921416 8816304 9241652 12542242 13862478 15842832 18483304 18813363 25084484 27724956 36966608 37626726 43897847 50168968 55449912 75253452 87795694 100337936 110899824 131693541 150506904 175591388 263387082 301013808 351182776 526774164 702365552 1053548328 2107096656