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11451123602632 = 2371913193787679
BaseRepresentation
bin1010011010100010110000…
…1001111001010011001000
31111112201100111022010222101
42212220230021321103020
53000103400120241012
640204323520003144
72261213342425450
oct246505411712310
944481314263871
1011451123602632
11371543781a67a
12134b37a1604b4
13650ab4527c2c
142b834738cd60
1514cd0b3e1d57
hexa6a2c2794c8

11451123602632 has 128 divisors (see below), whose sum is σ = 26054848512000. Its totient is φ = 4608860705280.

The previous prime is 11451123602599. The next prime is 11451123602747. The reversal of 11451123602632 is 23620632115411.

It is a super-2 number, since 2×114511236026322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11451123602591 and 11451123602600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130558969 + ... + 130646647.

It is an arithmetic number, because the mean of its divisors is an integer number (203553504000).

Almost surely, 211451123602632 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 11451123602632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027424256000).

11451123602632 is an abundant number, since it is smaller than the sum of its proper divisors (14603724909368).

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

11451123602632 is a wasteful number, since it uses less digits than its factorization.

11451123602632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88779 (or 88775 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 11451123602632 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-three million, six hundred two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 131 133 152 262 266 524 532 917 937 1048 1064 1834 1874 2489 3668 3748 4978 6559 7336 7496 9956 13118 17423 17803 19912 26236 34846 35606 52472 69692 71212 87679 122747 124621 139384 142424 175358 245494 249242 350716 490988 498484 613753 701432 859229 981976 996968 1227506 1665901 1718458 2332193 2455012 3331802 3436916 4664386 4910024 6663604 6873832 9328772 11485949 11661307 13327208 16325351 18657544 22971898 23322614 32650702 45943796 46645228 65301404 80401643 82155223 91887592 93290456 130602808 160803286 164310446 218233031 321606572 328620892 436466062 575086561 643213144 657241784 872932124 1150173122 1527631217 1560949237 1745864248 2300346244 3055262434 3121898474 4600692488 6110524868 6243796948 10762334213 10926644659 12221049736 12487593896 21524668426 21853289318 43049336852 43706578636 75336339491 86098673704 87413157272 150672678982 204484350047 301345357964 408968700094 602690715928 817937400188 1431390450329 1635874800376 2862780900658 5725561801316 11451123602632