Search a number
-
+
1011058498272 = 25395332593391
BaseRepresentation
bin11101011011001111100…
…10000101101011100000
310120122201101221100021010
432231213302011223200
5113031121433421042
62052250204300520
7133021654302534
oct16554762055340
93518641840233
101011058498272
1135a873189369
12143b49541740
137445b365744
1436d14dc3bc4
151b47750d59c
hexeb67c85ae0

1011058498272 has 96 divisors (see below), whose sum is σ = 2658412431360. Its totient is φ = 336463303680.

The previous prime is 1011058498271. The next prime is 1011058498291. The reversal of 1011058498272 is 2728948501101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011058498271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298157697 + ... + 298161087.

It is an arithmetic number, because the mean of its divisors is an integer number (27691796160).

Almost surely, 21011058498272 is an apocalyptic number.

1011058498272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011058498272 is an abundant number, since it is smaller than the sum of its proper divisors (1647353933088).

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

1011058498272 is a wasteful number, since it uses less digits than its factorization.

1011058498272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 1011058498272 in words is "one trillion, eleven billion, fifty-eight million, four hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 953 1906 2859 3259 3391 3812 5718 6518 6782 7624 9777 10173 11436 13036 13564 15248 19554 20346 22872 26072 27128 30496 39108 40692 45744 52144 54256 78216 81384 91488 104288 108512 156432 162768 312864 325536 3105827 3231623 6211654 6463246 9317481 9694869 11051269 12423308 12926492 18634962 19389738 22102538 24846616 25852984 33153807 37269924 38779476 44205076 49693232 51705968 66307614 74539848 77558952 88410152 99386464 103411936 132615228 149079696 155117904 176820304 265230456 298159392 310235808 353640608 530460912 1060921824 10531859357 21063718714 31595578071 42127437428 63191156142 84254874856 126382312284 168509749712 252764624568 337019499424 505529249136 1011058498272