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11031055901664 = 2531011907596587
BaseRepresentation
bin1010000010000101111000…
…1010110010001111100000
31110001120002020210221110120
42200201132022302033200
52421213100302323124
635243332551200240
72215652564040561
oct240413612621740
943046066727416
1011031055901664
113573276528547
1212a1a86376080
136202bb499a26
142a1c97d20168
15141e22d57d79
hexa085e2b23e0

11031055901664 has 96 divisors (see below), whose sum is σ = 29258603692416. Its totient is φ = 3638697331200.

The previous prime is 11031055901653. The next prime is 11031055901699. The reversal of 11031055901664 is 46610955013011.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18191979 + ... + 18788565.

It is an arithmetic number, because the mean of its divisors is an integer number (304777121796).

Almost surely, 211031055901664 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 11031055901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629301846208).

11031055901664 is an abundant number, since it is smaller than the sum of its proper divisors (18227547790752).

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

11031055901664 is a wasteful number, since it uses less digits than its factorization.

11031055901664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598608 (or 598600 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 11031055901664 in words is "eleven trillion, thirty-one billion, fifty-five million, nine hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 1907 2424 3232 3814 4848 5721 7628 9696 11442 15256 22884 30512 45768 61024 91536 183072 192607 385214 577821 596587 770428 1155642 1193174 1540856 1789761 2311284 2386348 3081712 3579522 4622568 4772696 6163424 7159044 9245136 9545392 14318088 18490272 19090784 28636176 57272352 60255287 120510574 180765861 241021148 361531722 482042296 723063444 964084592 1137691409 1446126888 1928169184 2275382818 2892253776 3413074227 4550765636 5784507552 6826148454 9101531272 13652296908 18203062544 27304593816 36406125088 54609187632 109218375264 114906832309 229813664618 344720496927 459627329236 689440993854 919254658472 1378881987708 1838509316944 2757763975416 3677018633888 5515527950832 11031055901664