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1007380051032 = 233155047270719
BaseRepresentation
bin11101010100011001000…
…01111011010001011000
310120022020001021212021110
432222030201323101120
5113001103243113112
62050441202340320
7132531550102545
oct16521441732130
93508201255243
101007380051032
1135925585a523
121432a165a6a0
1373cc3249c44
1436a86653bcc
151b30e60313c
hexea8c87b458

1007380051032 has 32 divisors (see below), whose sum is σ = 2518475673600. Its totient is φ = 335789944224.

The previous prime is 1007380050991. The next prime is 1007380051039. The reversal of 1007380051032 is 2301500837001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007380051039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3585769 + ... + 3856487.

It is an arithmetic number, because the mean of its divisors is an integer number (78702364800).

Almost surely, 21007380051032 is an apocalyptic number.

1007380051032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007380051032 is an abundant number, since it is smaller than the sum of its proper divisors (1511095622568).

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

1007380051032 is a wasteful number, since it uses less digits than its factorization.

1007380051032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425775 (or 425771 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 1007380051032 its reverse (2301500837001), we get a palindrome (3308880888033).

The spelling of 1007380051032 in words is "one trillion, seven billion, three hundred eighty million, fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 155047 270719 310094 465141 541438 620188 812157 930282 1082876 1240376 1624314 1860564 2165752 3248628 3721128 6497256 41974168793 83948337586 125922506379 167896675172 251845012758 335793350344 503690025516 1007380051032