Search a number
-
+
2456027600730 = 2351153193727589
BaseRepresentation
bin100011101111010110101…
…001110001011101011010
322200210102210020020100020
4203233112221301131122
5310214421031210410
65120141123051310
7342304440103554
oct43572651613532
98623383206306
102456027600730
11867660608940
12337bb2810b36
1314a7aa653082
1486c2dad84d4
1543d48506a70
hex23bd6a7175a

2456027600730 has 128 divisors (see below), whose sum is σ = 6585609173760. Its totient is φ = 581139087360.

The previous prime is 2456027600699. The next prime is 2456027600749. The reversal of 2456027600730 is 370067206542.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3011776 + ... + 3739364.

It is an arithmetic number, because the mean of its divisors is an integer number (51450071670).

Almost surely, 22456027600730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456027600730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292804586880).

2456027600730 is an abundant number, since it is smaller than the sum of its proper divisors (4129581573030).

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

2456027600730 is a wasteful number, since it uses less digits than its factorization.

2456027600730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727856.

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 2456027600730 in words is "two trillion, four hundred fifty-six billion, twenty-seven million, six hundred thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 193 265 318 330 386 530 579 583 795 965 1158 1166 1590 1749 1930 2123 2895 2915 3498 4246 5790 5830 6369 8745 10229 10615 12738 17490 20458 21230 30687 31845 51145 61374 63690 102290 112519 153435 225038 306870 337557 562595 675114 727589 1125190 1455178 1687785 2182767 3375570 3637945 4365534 7275890 8003479 10913835 16006958 21827670 24010437 38562217 40017395 48020874 77124434 80034790 115686651 120052185 140424677 192811085 231373302 240104370 280849354 385622170 421274031 424184387 578433255 702123385 842548062 848368774 1156866510 1272553161 1404246770 1544671447 2106370155 2120921935 2545106322 3089342894 4212740310 4241843870 4634014341 6362765805 7442507881 7723357235 9268028682 12725531610 14885015762 15446714470 22327523643 23170071705 37212539405 44655047286 46340143410 74425078810 81867586691 111637618215 163735173382 223275236430 245602760073 409337933455 491205520146 818675866910 1228013800365 2456027600730