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40555329792 = 283296129851
BaseRepresentation
bin100101110001010010…
…010011100100000000
310212200101000012202120
4211301102103210000
51131024131023132
630344133244240
72633666421045
oct456122234400
9125611005676
1040555329792
111622147658a
127a39a93680
133a9413a983
141d6a2471cc
1510c562e02c
hex971493900

40555329792 has 144 divisors (see below), whose sum is σ = 113492527680. Its totient is φ = 12837888000.

The previous prime is 40555329767. The next prime is 40555329797. The reversal of 40555329792 is 29792355504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40555329797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343667 + ... + 1373517.

Almost surely, 240555329792 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 40555329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56746263840).

40555329792 is an abundant number, since it is smaller than the sum of its proper divisors (72937197888).

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

40555329792 is a wasteful number, since it uses less digits than its factorization.

40555329792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29960 (or 29946 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 40555329792 in words is "forty billion, five hundred fifty-five million, three hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 128 174 183 192 232 244 256 348 366 384 464 488 696 732 768 928 976 1392 1464 1769 1856 1952 2784 2928 3538 3712 3904 5307 5568 5856 7076 7424 7808 10614 11136 11712 14152 15616 21228 22272 23424 28304 29851 42456 46848 56608 59702 84912 89553 113216 119404 169824 179106 226432 238808 339648 358212 452864 477616 679296 716424 865679 955232 1358592 1432848 1731358 1820911 1910464 2597037 2865696 3462716 3641822 3820928 5194074 5462733 5731392 6925432 7283644 7641856 10388148 10925466 11462784 13850864 14567288 20776296 21850932 22925568 27701728 29134576 41552592 43701864 52806419 55403456 58269152 83105184 87403728 105612838 110806912 116538304 158419257 166210368 174807456 211225676 221613824 233076608 316838514 332420736 349614912 422451352 466153216 633677028 664841472 699229824 844902704 1267354056 1398459648 1689805408 2534708112 3379610816 5069416224 6759221632 10138832448 13518443264 20277664896 40555329792