Search a number
-
+
1076948060672 = 2911277690323
BaseRepresentation
bin11111010101111110001…
…10110100101000000000
310210221210100202220210002
433222333012310220000
5120121042200420142
62142424302255132
7140543530322231
oct17527706645000
93727710686702
101076948060672
11385805116870
121548778874a8
137a72c0320a3
143a1a5b39088
151d031d31a32
hexfabf1b4a00

1076948060672 has 80 divisors (see below), whose sum is σ = 2355888043872. Its totient is φ = 487753912320.

The previous prime is 1076948060647. The next prime is 1076948060687. The reversal of 1076948060672 is 2760608496701.

1076948060672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1214903 + ... + 1905225.

Almost surely, 21076948060672 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 1076948060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177944021936).

1076948060672 is an abundant number, since it is smaller than the sum of its proper divisors (1278939983200).

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

1076948060672 is an equidigital number, since it uses as much as digits as its factorization.

1076948060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690629 (or 690613 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 1076948060672 in words is "one trillion, seventy-six billion, nine hundred forty-eight million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 277 352 512 554 704 1108 1408 2216 2816 3047 4432 5632 6094 8864 12188 17728 24376 35456 48752 70912 97504 141824 195008 390016 690323 780032 1380646 1560064 2761292 5522584 7593553 11045168 15187106 22090336 30374212 44180672 60748424 88361344 121496848 176722688 191219471 242993696 353445376 382438942 485987392 764877884 971974784 1529755768 1943949568 2103414181 3059511536 3887899136 4206828362 6119023072 8413656724 12238046144 16827313448 24476092288 33654626896 48952184576 67309253792 97904369152 134618507584 269237015168 538474030336 1076948060672