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11921054425344 = 2834239772
BaseRepresentation
bin1010110101111001011000…
…1101101110000100000000
31120012122022210001101110000
42231132112031232010000
53030303304413102334
641204242400240000
72340160561500201
oct255362615560400
946178283041400
1011921054425344
113886766495129
121406469010000
136861c5b6c6bc
142d2da6cbb5a8
1515a1622d4299
hexad79636e100

11921054425344 has 135 divisors (see below), whose sum is σ = 35547909868317. Its totient is φ = 3973519079424.

The previous prime is 11921054425331. The next prime is 11921054425361. The reversal of 11921054425344 is 44352445012911.

The square root of 11921054425344 is 3452688.

It is a perfect power (a square), and thus also a powerful number.

11921054425344 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 10 + 544 + 2 + 53 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5166710841600 + 6754343583744 = 2273040^2 + 2598912^2 .

It is a super-2 number, since 2×119210544253442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11921054425344.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 497175084 + ... + 497199060.

Almost surely, 211921054425344 is an apocalyptic number.

11921054425344 is the 3452688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11921054425344

11921054425344 is an abundant number, since it is smaller than the sum of its proper divisors (23626855442973).

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

11921054425344 is an frugal number, since it uses more digits than its factorization.

11921054425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47982 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11921054425344 in words is "eleven trillion, nine hundred twenty-one billion, fifty-four million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 23977 47954 71931 95908 143862 191816 215793 287724 383632 431586 575448 647379 767264 863172 1150896 1294758 1534528 1726344 1942137 2301792 2589516 3069056 3452688 3884274 4603584 5179032 6138112 6905376 7768548 9207168 10358064 13810752 15537096 18414336 20716128 27621504 31074192 41432256 55243008 62148384 82864512 124296768 165729024 248593536 497187072 574896529 1149793058 1724689587 2299586116 3449379174 4599172232 5174068761 6898758348 9198344464 10348137522 13797516696 15522206283 18396688928 20696275044 27595033392 31044412566 36793377856 41392550088 46566618849 55190066784 62088825132 73586755712 82785100176 93133237698 110380133568 124177650264 147173511424 165570200352 186266475396 220760267136 248355300528 331140400704 372532950792 441520534272 496710601056 662280801408 745065901584 993421202112 1324561602816 1490131803168 1986842404224 2980263606336 3973684808448 5960527212672 11921054425344