Search a number
-
+
2046095609740 = 2257213463346877
BaseRepresentation
bin11101110001100100110…
…011010100111110001100
321020121022220212110001021
4131301210303110332030
5232010400434002430
64203544025523524
7300553104502600
oct35614463247614
97217286773037
102046095609740
117198206a2726
122906693435a4
1311ac3b449ab0
1471062837500
1538354bd607a
hex1dc64cd4f8c

2046095609740 has 144 divisors (see below), whose sum is σ = 5394446854272. Its totient is φ = 646155062784.

The previous prime is 2046095609713. The next prime is 2046095609773. The reversal of 2046095609740 is 479065906402.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5725182 + ... + 6072058.

It is an arithmetic number, because the mean of its divisors is an integer number (37461436488).

Almost surely, 22046095609740 is an apocalyptic number.

2046095609740 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 2046095609740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697223427136).

2046095609740 is an abundant number, since it is smaller than the sum of its proper divisors (3348351244532).

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

2046095609740 is a wasteful number, since it uses less digits than its factorization.

2046095609740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347376 (or 347367 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 2046095609740 in words is "two trillion, forty-six billion, ninety-five million, six hundred nine thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 463 490 637 910 926 980 1274 1820 1852 2315 2548 3185 3241 4630 6019 6370 6482 9260 12038 12740 12964 16205 22687 24076 30095 32410 42133 45374 60190 64820 84266 90748 113435 120380 168532 210665 226870 294931 346877 421330 453740 589862 693754 842660 1179724 1387508 1474655 1734385 2428139 2949310 3468770 4509401 4856278 5898620 6937540 9018802 9712556 12140695 16996973 18037604 22547005 24281390 31565807 33993946 45094010 48562780 63131614 67987892 84984865 90188020 126263228 157829035 160604051 169969730 220960649 315658070 321208102 339939460 441921298 631316140 642416204 803020255 883842596 1104803245 1124228357 1606040510 2087852663 2209606490 2248456714 3212081020 4175705326 4419212980 4496913428 5621141785 7869598499 8351410652 10439263315 11242283570 14614968641 15739196998 20878526630 22484567140 29229937282 31478393996 39347992495 41757053260 58459874564 73074843205 78695984990 102304780487 146149686410 157391969980 204609560974 292299372820 409219121948 511523902435 1023047804870 2046095609740