Search a number
-
+
2570734073310 = 2351349982715973
BaseRepresentation
bin100101011010001011101…
…100001111010111011110
3100002202111212200210100120
4211122023230033113132
5314104330410321220
65244551240535410
7353505121040454
oct45321354172736
910082455623316
102570734073310
11901273402507
12356285781566
1315855ac38ba0
148c5d1db29d4
1546d0d8c4a40
hex2568bb0f5de

2570734073310 has 128 divisors (see below), whose sum is σ = 6666141888000. Its totient is φ = 630724824576.

The previous prime is 2570734073287. The next prime is 2570734073339. The reversal of 2570734073310 is 133704370752.

It is a super-2 number, since 2×25707340733102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 160934484 + ... + 160950456.

It is an arithmetic number, because the mean of its divisors is an integer number (52079233500).

Almost surely, 22570734073310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570734073310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333070944000).

2570734073310 is an abundant number, since it is smaller than the sum of its proper divisors (4095407814690).

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

2570734073310 is a wasteful number, since it uses less digits than its factorization.

2570734073310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17322.

The product of its (nonzero) digits is 370440, while the sum is 42.

The spelling of 2570734073310 in words is "two trillion, five hundred seventy billion, seven hundred thirty-four million, seventy-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 499 827 998 1497 1654 2481 2495 2994 4135 4962 4990 6487 7485 8270 10751 12405 12974 14970 15973 19461 21502 24810 31946 32253 32435 38922 47919 53755 64506 64870 79865 95838 97305 107510 159730 161265 194610 207649 239595 322530 412673 415298 479190 622947 825346 1038245 1238019 1245894 2063365 2076490 2476038 3114735 4126730 5364749 6190095 6229470 7970527 10729498 12380190 13209671 15941054 16094247 23911581 26419342 26823745 32188494 39629013 39852635 47823162 53647490 66048355 79258026 79705270 80471235 103616851 119557905 132096710 160942470 171725723 198145065 207233702 239115810 310850553 343451446 396290130 515177169 518084255 621701106 858628615 1030354338 1036168510 1554252765 1717257230 2575885845 3108505530 5151771690 6591625829 13183251658 19774877487 32958129145 39549754974 65916258290 85691135777 98874387435 171382271554 197748774870 257073407331 428455678885 514146814662 856911357770 1285367036655 2570734073310