Search a number
-
+
1013670676672 = 26532003149197
BaseRepresentation
bin11101100000000110111…
…10110000100011000000
310120220110110012202101021
432300003132300203000
5113101444143123142
62053401320315224
7133143463405153
oct16600336604300
93526413182337
101013670676672
11360993741695
12144558312b14
13747865b0934
14370c1cb5c9a
151b57b9e7267
hexec037b08c0

1013670676672 has 56 divisors (see below), whose sum is σ = 2050492567536. Its totient is φ = 497020812288.

The previous prime is 1013670676657. The next prime is 1013670676717. The reversal of 1013670676672 is 2766760763101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6719578 + ... + 6868774.

It is an arithmetic number, because the mean of its divisors is an integer number (36615938706).

Almost surely, 21013670676672 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 1013670676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025246283768).

1013670676672 is an abundant number, since it is smaller than the sum of its proper divisors (1036821890864).

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

1013670676672 is a wasteful number, since it uses less digits than its factorization.

1013670676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151265 (or 151255 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The spelling of 1013670676672 in words is "one trillion, thirteen billion, six hundred seventy million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2003 3392 4006 8012 16024 32048 64096 106159 128192 149197 212318 298394 424636 596788 849272 1193576 1698544 2387152 3397088 4774304 6794176 7907441 9548608 15814882 31629764 63259528 126519056 253038112 298841591 506076224 597683182 1195366364 2390732728 4781465456 9562930912 15838604323 19125861824 31677208646 63354417292 126708834584 253417669168 506835338336 1013670676672