Search a number
-
+
1011006525088 = 25717265799923
BaseRepresentation
bin11101011011001001010…
…11110100111010100000
310120122120210010211110101
432231210223310322200
5113031020132300323
62052241110312144
7133020453446320
oct16554453647240
93518523124411
101011006525088
1135a84691011a
12143b34058654
1374450669191
1436d0c135280
151b472b93dad
hexeb64af4ea0

1011006525088 has 96 divisors (see below), whose sum is σ = 2409504983424. Its totient is φ = 407643389952.

The previous prime is 1011006525013. The next prime is 1011006525163. The reversal of 1011006525088 is 8805256001101.

It is an interprime number because it is at equal distance from previous prime (1011006525013) and next prime (1011006525163).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10067895 + ... + 10167817.

It is an arithmetic number, because the mean of its divisors is an integer number (25099010244).

Almost surely, 21011006525088 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 1011006525088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204752491712).

1011006525088 is an abundant number, since it is smaller than the sum of its proper divisors (1398498458336).

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

1011006525088 is a wasteful number, since it uses less digits than its factorization.

1011006525088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102614 (or 102606 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 37.

The spelling of 1011006525088 in words is "one trillion, eleven billion, six million, five hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2657 3808 5314 10628 18599 21256 37198 42512 45169 74396 85024 90338 99923 148792 180676 199846 297584 316183 361352 399692 595168 632366 699461 722704 799384 1264732 1398922 1445408 1598768 1698691 2529464 2797844 3197536 3397382 5058928 5595688 6794764 10117856 11191376 11890837 13589528 22382752 23781674 27179056 47563348 54358112 95126696 190253392 265495411 380506784 530990822 1061981644 1858467877 2123963288 3716935754 4247926576 4513421987 7433871508 8495853152 9026843974 14867743016 18053687948 29735486032 31593953909 36107375896 59470972064 63187907818 72214751792 126375815636 144429503584 252751631272 505503262544 1011006525088