Search a number
-
+
1010195925728 = 251111232555543
BaseRepresentation
bin11101011001101000101…
…11101000101011100000
310120120111021212010011212
432230310113220223200
5113022340124110403
62052024432325252
7132661411456013
oct16546427505340
93516437763155
101010195925728
1135a47029a8a0
121439486a3828
13743517449a2
1436c7260b37a
151b4269264d8
hexeb345e8ae0

1010195925728 has 48 divisors (see below), whose sum is σ = 2171558180736. Its totient is φ = 458770899840.

The previous prime is 1010195925727. The next prime is 1010195925731. The reversal of 1010195925728 is 8275295910101.

1010195925728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010195925727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882476 + ... + 1673067.

It is an arithmetic number, because the mean of its divisors is an integer number (45240795432).

Almost surely, 21010195925728 is an apocalyptic number.

It is an amenable number.

1010195925728 is an abundant number, since it is smaller than the sum of its proper divisors (1161362255008).

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

1010195925728 is a wasteful number, since it uses less digits than its factorization.

1010195925728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556687 (or 2556679 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 50.

The spelling of 1010195925728 in words is "one trillion, ten billion, one hundred ninety-five million, nine hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1123 2246 4492 8984 12353 17968 24706 35936 49412 98824 197648 395296 2555543 5111086 10222172 20444344 28110973 40888688 56221946 81777376 112443892 224887784 449775568 899551136 2869874789 5739749578 11479499156 22958998312 31568622679 45917996624 63137245358 91835993248 126274490716 252548981432 505097962864 1010195925728