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2742194910 = 2357139191093
BaseRepresentation
bin1010001101110010…
…1001001011011110
321002002220221020110
42203130221023132
521104000214120
61132034430450
7124645162230
oct24334511336
97062827213
102742194910
111187996694
12646432426
1334916b350
141c0298250
15110b1c2e0
hexa37292de

2742194910 has 128 divisors (see below), whose sum is σ = 8116254720. Its totient is φ = 577414656.

The previous prime is 2742194879. The next prime is 2742194921. The reversal of 2742194910 is 194912472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508324 + ... + 2509416.

It is an arithmetic number, because the mean of its divisors is an integer number (63408240).

Almost surely, 22742194910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742194910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058127360).

2742194910 is an abundant number, since it is smaller than the sum of its proper divisors (5374059810).

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

2742194910 is a wasteful number, since it uses less digits than its factorization.

2742194910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2742194910 is about 52365.9709162353. The cubic root of 2742194910 is about 1399.6929445647.

The spelling of 2742194910 in words is "two billion, seven hundred forty-two million, one hundred ninety-four thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 919 1093 1365 1838 2186 2730 2757 3279 4595 5465 5514 6433 6558 7651 9190 10930 11947 12866 13785 14209 15302 16395 19299 22953 23894 27570 28418 32165 32790 35841 38255 38598 42627 45906 59735 64330 71045 71682 76510 83629 85254 96495 99463 114765 119470 142090 167258 179205 192990 198926 213135 229530 250887 298389 358410 418145 426270 497315 501774 596778 836290 994630 1004467 1254435 1491945 2008934 2508870 2983890 3013401 5022335 6026802 7031269 10044670 13058071 14062538 15067005 21093807 26116142 30134010 35156345 39174213 42187614 65290355 70312690 78348426 91406497 105469035 130580710 182812994 195871065 210938070 274219491 391742130 457032485 548438982 914064970 1371097455 2742194910