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2693103604240 = 245719325777713
BaseRepresentation
bin100111001100001001011…
…110111101001000010000
3100112110101000120001012211
4213030021132331020100
5323110434010313430
65421110020401504
7365366421635350
oct47141136751020
910473330501184
102693103604240
11949158859255
12375b36b46294
13166c6000155a
14944bdcc6b60
154a0c18d372a
hex273097bd210

2693103604240 has 160 divisors (see below), whose sum is σ = 7535000229120. Its totient is φ = 874472620032.

The previous prime is 2693103604231. The next prime is 2693103604253. The reversal of 2693103604240 is 424063013962.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2693103604193 and 2693103604202.

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, 34615624 + ... + 34693336.

It is an arithmetic number, because the mean of its divisors is an integer number (47093751432).

Almost surely, 22693103604240 is an apocalyptic number.

2693103604240 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 2693103604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767500114560).

2693103604240 is an abundant number, since it is smaller than the sum of its proper divisors (4841896624880).

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

2693103604240 is a wasteful number, since it uses less digits than its factorization.

2693103604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81009 (or 81003 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 2693103604240 in words is "two trillion, six hundred ninety-three billion, one hundred three million, six hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 3257 5320 6514 10640 13028 16285 22799 26056 32570 45598 52112 61883 65140 77713 91196 113995 123766 130280 155426 182392 227990 247532 260560 309415 310852 364784 388565 433181 455980 495064 543991 618830 621704 777130 866362 911960 990128 1087982 1237660 1243408 1476547 1554260 1732724 1823920 2165905 2175964 2475320 2719955 2953094 3108520 3465448 4331810 4351928 4950640 5439910 5906188 6217040 6930896 7382735 8663620 8703856 10335829 10879820 11812376 14765470 17327240 20671658 21759640 23624752 29530940 34654480 41343316 43519280 51679145 59061880 82686632 103358290 118123760 165373264 206716580 253111241 413433160 506222482 826866320 1012444964 1265556205 1771778687 2024889928 2531112410 3543557374 4049779856 4809113579 5062224820 7087114748 8858893435 9618227158 10124449640 14174229496 17717786870 19236454316 20248899280 24045567895 28348458992 33663795053 35435573740 38472908632 48091135790 67327590106 70871147480 76945817264 96182271580 134655180212 141742294960 168318975265 192364543160 269310360424 336637950530 384729086320 538620720848 673275901060 1346551802120 2693103604240