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540010003032 = 2332172319181941
BaseRepresentation
bin1111101101110110001…
…10101011101001011000
31220121212020002110022200
413312323012223221120
532321420030044112
61052024400250200
754004644201453
oct7667306535130
91817766073280
10540010003032
11199020628a05
12887a8310960
133bbcc2c3396
141c1cac7649a
15e0a8443cdc
hex7dbb1aba58

540010003032 has 96 divisors (see below), whose sum is σ = 1615886794080. Its totient is φ = 162049029120.

The previous prime is 540010003031. The next prime is 540010003037. The reversal of 540010003032 is 230300010045.

It is a super-2 number, since 2×5400100030322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 540010002996 and 540010003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540010003031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9562819 + ... + 9619122.

It is an arithmetic number, because the mean of its divisors is an integer number (16832154105).

Almost surely, 2540010003032 is an apocalyptic number.

It is an amenable number.

540010003032 is an abundant number, since it is smaller than the sum of its proper divisors (1075876791048).

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

540010003032 is a wasteful number, since it uses less digits than its factorization.

540010003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181993 (or 19181986 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 540010003032 its reverse (230300010045), we get a palindrome (770310013077).

The spelling of 540010003032 in words is "five hundred forty billion, ten million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 9384 14076 28152 19181941 38363882 57545823 76727764 115091646 153455528 172637469 230183292 326092997 345274938 441184643 460366584 652185994 690549876 882369286 978278991 1304371988 1323553929 1381099752 1764738572 1956557982 2608743976 2647107858 2934836973 3529477144 3913115964 3970661787 5294215716 5869673946 7500138931 7826231928 7941323574 10588431432 11739347892 15000277862 15882647148 22500416793 23478695784 30000555724 31765294296 45000833586 60001111448 67501250379 90001667172 135002500758 180003334344 270005001516 540010003032