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2097903968760 = 2335791597138571
BaseRepresentation
bin11110100001110100110…
…100100010000111111000
321102120001112102202220010
4132201310310202013320
5233333001404000020
64243432550501520
7304366005336225
oct36416464420770
97376045382803
102097903968760
11739797109666
1229a7079648a0
13122aa6a45532
14737793b894c
15398881d5de0
hex1e874d221f8

2097903968760 has 128 divisors (see below), whose sum is σ = 6377416012800. Its totient is φ = 552009669120.

The previous prime is 2097903968689. The next prime is 2097903968789. The reversal of 2097903968760 is 678693097902.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2097903968691 and 2097903968700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15070275 + ... + 15208845.

It is an arithmetic number, because the mean of its divisors is an integer number (49823562600).

Almost surely, 22097903968760 is an apocalyptic number.

2097903968760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097903968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188708006400).

2097903968760 is an abundant number, since it is smaller than the sum of its proper divisors (4279512044040).

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

2097903968760 is a wasteful number, since it uses less digits than its factorization.

2097903968760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140261 (or 140257 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 2097903968760 in words is "two trillion, ninety-seven billion, nine hundred three million, nine hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1597 1896 2370 3160 3194 4740 4791 6388 7985 9480 9582 12776 15970 19164 23955 31940 38328 47910 63880 95820 126163 138571 191640 252326 277142 378489 415713 504652 554284 630815 692855 756978 831426 1009304 1108568 1261630 1385710 1513956 1662852 1892445 2078565 2523260 2771420 3027912 3325704 3784890 4157130 5046520 5542840 7569780 8314260 10947109 15139560 16628520 21894218 32841327 43788436 54735545 65682654 87576872 109471090 131365308 164206635 218942180 221297887 262730616 328413270 437884360 442595774 656826540 663893661 885191548 1106489435 1313653080 1327787322 1770383096 2212978870 2655574644 3319468305 4425957740 5311149288 6638936610 8851915480 13277873220 17482533073 26555746440 34965066146 52447599219 69930132292 87412665365 104895198438 139860264584 174825330730 209790396876 262237996095 349650661460 419580793752 524475992190 699301322920 1048951984380 2097903968760