Search a number
-
+
1148498946112 = 26717199757793
BaseRepresentation
bin10000101101100111110…
…111110010100001000000
311001210110212101111112011
4100231213313302201000
5122304111212233422
62235340234142304
7145655605652620
oct20554767624100
94053425344464
101148498946112
11403091794041
12166705b81994
13843c287711b
143d8326dc880
151ed1d68e077
hex10b67df2840

1148498946112 has 112 divisors (see below), whose sum is σ = 2771707334400. Its totient is φ = 460931530752.

The previous prime is 1148498946079. The next prime is 1148498946143. The reversal of 1148498946112 is 2116498948411.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1136688 + ... + 1894480.

Almost surely, 21148498946112 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 1148498946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385853667200).

1148498946112 is an abundant number, since it is smaller than the sum of its proper divisors (1623208388288).

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

1148498946112 is a wasteful number, since it uses less digits than its factorization.

1148498946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758028 (or 758018 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 58.

The spelling of 1148498946112 in words is "one trillion, one hundred forty-eight billion, four hundred ninety-eight million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 199 224 238 272 398 448 476 544 796 952 1088 1393 1592 1904 2786 3184 3383 3808 5572 6368 6766 7616 11144 12736 13532 22288 23681 27064 44576 47362 54128 89152 94724 108256 189448 216512 378896 757792 757793 1515584 1515586 3031172 5304551 6062344 10609102 12124688 12882481 21218204 24249376 25764962 42436408 48498752 51529924 84872816 90177367 103059848 150800807 169745632 180354734 206119696 301601614 339491264 360709468 412239392 603203228 721418936 824478784 1055605649 1206406456 1442837872 2111211298 2412812912 2563613719 2885675744 4222422596 4825625824 5127227438 5771351488 8444845192 9651251648 10254454876 16889690384 17945296033 20508909752 33779380768 35890592066 41017819504 67558761536 71781184132 82035639008 143562368264 164071278016 287124736528 574249473056 1148498946112