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2443001073656 = 23111347367112377
BaseRepresentation
bin100011100011001110001…
…101100000111111111000
322122112210221112002120112
4203203032031200333320
5310011231233324111
65110144343243452
7341333562333533
oct43431615407770
98575727462515
102443001073656
11862086465290
12335578149588
131494b29240a0
1486355a25a1a
1543834ab4e8b
hex238ce360ff8

2443001073656 has 128 divisors (see below), whose sum is σ = 5497875855360. Its totient is φ = 1002871833600.

The previous prime is 2443001073589. The next prime is 2443001073659. The reversal of 2443001073656 is 6563701003442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443001073659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197376140 + ... + 197388516.

It is an arithmetic number, because the mean of its divisors is an integer number (42952155120).

Almost surely, 22443001073656 is an apocalyptic number.

2443001073656 is a gapful number since it is divisible by the number (26) 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 2443001073656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748937927680).

2443001073656 is an abundant number, since it is smaller than the sum of its proper divisors (3054874781704).

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

2443001073656 is a wasteful number, since it uses less digits than its factorization.

2443001073656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 2443001073656 in words is "two trillion, four hundred forty-three billion, one million, seventy-three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 188 286 376 517 572 611 1034 1144 1222 2068 2444 3671 4136 4888 6721 7342 12377 13442 14684 24754 26884 29368 40381 47723 49508 53768 80762 95446 99016 136147 160901 161524 172537 190892 272294 321802 323048 345074 381784 524953 544588 581719 643604 690148 1049906 1089176 1163438 1287208 1380296 1769911 1897907 2099812 2242981 2326876 3539822 3795814 4199624 4485962 4653752 6398909 7079644 7562347 7591628 8971924 12797818 14159288 15124694 15183256 17943848 24672791 25595636 30249388 45435967 49345582 51191272 60498776 83185817 90871934 98691164 166371634 181743868 197382328 332743268 363487736 499795637 590667571 665486536 999591274 1181335142 1999182548 2135490449 2362670284 3998365096 4270980898 4725340568 6497343281 8541961796 12994686562 17083923592 23490394939 25989373124 27761375837 46980789878 51978746248 55522751674 93961579756 111045503348 187923159512 222091006696 305375134207 610750268414 1221500536828 2443001073656