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10937289941344 = 251359617305241
BaseRepresentation
bin1001111100101000100101…
…0010000010000101100000
31102201121001112121121222101
42133022021102002011200
52413144032211110334
635132304401220144
72206123145400064
oct237121122020540
942647045547871
1010937289941344
11353752a045758
121287878331654
136144c739ac80
1429b520bd1aa4
1513e786086214
hex9f289482160

10937289941344 has 96 divisors (see below), whose sum is σ = 23968791211680. Its totient is φ = 4881069158400.

The previous prime is 10937289941239. The next prime is 10937289941387. The reversal of 10937289941344 is 44314998273901.

It is a super-2 number, since 2×109372899413442 (a number of 27 digits) contains 22 as substring.

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, 2155437 + ... + 5149804.

It is an arithmetic number, because the mean of its divisors is an integer number (249674908455).

Almost surely, 210937289941344 is an apocalyptic number.

It is an amenable number.

10937289941344 is an abundant number, since it is smaller than the sum of its proper divisors (13031501270336).

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

10937289941344 is a wasteful number, since it uses less digits than its factorization.

10937289941344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305384 (or 7305376 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 10937289941344 in words is "ten trillion, nine hundred thirty-seven billion, two hundred eighty-nine million, nine hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 61 104 118 122 208 236 244 416 472 488 767 793 944 976 1534 1586 1888 1952 3068 3172 3599 6136 6344 7198 12272 12688 14396 24544 25376 28792 46787 57584 93574 115168 187148 374296 748592 1497184 7305241 14610482 29220964 58441928 94968133 116883856 189936266 233767712 379872532 431009219 445619701 759745064 862018438 891239402 1519490128 1724036876 1782478804 3038980256 3448073752 3564957608 5603119847 5793056113 6896147504 7129915216 11206239694 11586112226 13792295008 14259830432 22412479388 23172224452 26291562359 44824958776 46344448904 52583124718 89649917552 92688897808 105166249436 179299835104 185377795616 210332498872 341790310667 420664997744 683580621334 841329995488 1367161242668 2734322485336 5468644970672 10937289941344