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20340622352256 = 273761101368713
BaseRepresentation
bin1001001111111111010111…
…00100011101111110000000
32200000112200221111211200220
410213333223210131332000
510131230043310233011
6111132204121143040
74166363404161153
oct447775344357600
980015627454626
1020340622352256
116532456047888
12234619532aa80
13b471600b876b
145046c4491c9a
1525418d9b2506
hex127feb91df80

20340622352256 has 128 divisors (see below), whose sum is σ = 54154971131040. Its totient is φ = 6764515000320.

The previous prime is 20340622352221. The next prime is 20340622352317. The reversal of 20340622352256 is 65225322604302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295988556 + ... + 296057268.

Almost surely, 220340622352256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340622352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27077485565520).

20340622352256 is an abundant number, since it is smaller than the sum of its proper divisors (33814348778784).

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

20340622352256 is a wasteful number, since it uses less digits than its factorization.

20340622352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70504 (or 70492 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 20340622352256 its reverse (65225322604302), we get a palindrome (85565944956558).

The spelling of 20340622352256 in words is "twenty trillion, three hundred forty billion, six hundred twenty-two million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 761 1013 1522 2026 2283 3039 3044 4052 4566 6078 6088 8104 9132 12156 12176 16208 18264 24312 24352 32416 36528 48624 48704 64832 68713 73056 97248 97408 129664 137426 146112 194496 206139 274852 292224 388992 412278 549704 770893 824556 1099408 1541786 1649112 2198816 2312679 3083572 3298224 4397632 4625358 6167144 6596448 8795264 9250716 12334288 13192896 18501432 24668576 26385792 37002864 49337152 52290593 69606269 74005728 98674304 104581186 139212538 148011456 156871779 208818807 209162372 278425076 296022912 313743558 417637614 418324744 556850152 627487116 835275228 836649488 1113700304 1254974232 1670550456 1673298976 2227400608 2509948464 3341100912 3346597952 4454801216 5019896928 6682201824 6693195904 8909602432 10039793856 13364403648 20079587712 26728807296 52970370709 105940741418 158911112127 211881482836 317822224254 423762965672 635644448508 847525931344 1271288897016 1695051862688 2542577794032 3390103725376 5085155588064 6780207450752 10170311176128 20340622352256