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11046321162464 = 257172170636449
BaseRepresentation
bin1010000010111110110000…
…0011001000100011100000
31110010000111010002112120012
42200233230003020203200
52421440331204144324
635254335422504052
72220033064442240
oct240575403104340
943100433075505
1011046321162464
11357979a356965
1212a4a26735028
13621881c6c723
142a2905473b20
151425180b820e
hexa0bec0c88e0

11046321162464 has 72 divisors (see below), whose sum is σ = 26402236635600. Its totient is φ = 4455658930176.

The previous prime is 11046321162421. The next prime is 11046321162521. The reversal of 11046321162464 is 46426112364011.

It is a super-2 number, since 2×110463211624642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85253489 + ... + 85382960.

It is an arithmetic number, because the mean of its divisors is an integer number (366697731050).

Almost surely, 211046321162464 is an apocalyptic number.

11046321162464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11046321162464 is an abundant number, since it is smaller than the sum of its proper divisors (15355915473136).

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

11046321162464 is a wasteful number, since it uses less digits than its factorization.

11046321162464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170636500 (or 170636475 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 11046321162464 in words is "eleven trillion, forty-six billion, three hundred twenty-one million, one hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3808 4046 4624 8092 9248 16184 32368 64736 170636449 341272898 682545796 1194455143 1365091592 2388910286 2730183184 2900819633 4777820572 5460366368 5801639266 9555641144 11603278532 19111282288 20305737431 23206557064 38222564576 40611474862 46413114128 49313933761 81222949724 92826228256 98627867522 162445899448 197255735044 324891798896 345197536327 394511470088 649783597792 690395072654 789022940176 1380790145308 1578045880352 2761580290616 5523160581232 11046321162464