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20348272527352 = 23711137743324517
BaseRepresentation
bin1001010000001101100111…
…00011100100011111111000
32200001021110002200000001021
410220012303203210133320
510131341230231333402
6111135511203032224
74200054106453510
oct450066343443770
980037402600037
1020348272527352
1165357213aa640
12234776b36b674
13b47aac0072a3
14504c0c4d6840
1525448a40ad37
hex1281b38e47f8

20348272527352 has 128 divisors (see below), whose sum is σ = 47979233418240. Its totient is φ = 7859414062080.

The previous prime is 20348272527337. The next prime is 20348272527377. The reversal of 20348272527352 is 25372527284302.

It is a self number, because there is not a number n which added to its sum of digits gives 20348272527352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62540998 + ... + 62865514.

It is an arithmetic number, because the mean of its divisors is an integer number (374837761080).

Almost surely, 220348272527352 is an apocalyptic number.

20348272527352 is a gapful number since it is divisible by the number (22) 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 20348272527352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23989616709120).

20348272527352 is an abundant number, since it is smaller than the sum of its proper divisors (27630960890888).

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

20348272527352 is a wasteful number, since it uses less digits than its factorization.

20348272527352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325421 (or 325417 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 20348272527352 in words is "twenty trillion, three hundred forty-eight billion, two hundred seventy-two million, five hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 274 308 548 616 743 959 1096 1486 1507 1918 2972 3014 3836 5201 5944 6028 7672 8173 10402 10549 12056 16346 20804 21098 32692 41608 42196 57211 65384 84392 101791 114422 203582 228844 324517 407164 457688 649034 712537 814328 1119701 1298068 1425074 2239402 2271619 2596136 2850148 3569687 4478804 4543238 5700296 7139374 7837907 8957608 9086476 14278748 15675814 18172952 24987809 28557496 31351628 44458829 49975618 62703256 88917658 99951236 177835316 199902472 241116131 311211803 355670632 482232262 489047119 622423606 964464524 978094238 1244847212 1687812917 1928929048 1956188476 2489694424 2652277441 3375625834 3423329833 3912376952 5304554882 6751251668 6846659666 10609109764 13502503336 13693319332 18565942087 21218219528 27386638664 33032909947 37131884174 66065819894 74263768348 132131639788 148527536696 231230369629 264263279576 363362009417 462460739258 726724018834 924921478516 1453448037668 1849842957032 2543534065919 2906896075336 5087068131838 10174136263676 20348272527352