Search a number
-
+
1137879743104 = 27135031359487
BaseRepresentation
bin10000100011101110111…
…010101111101010000000
311000210001210111002120001
4100203232322233222000
5122120334203234404
62230422411525344
7145131502142236
oct20435672575200
94023053432501
101137879743104
113a96324a5705
12164641759854
13833bc7c9650
143d106234956
151e8eb26d7a4
hex108eeeafa80

1137879743104 has 64 divisors (see below), whose sum is σ = 2446099568640. Its totient is φ = 524130794496.

The previous prime is 1137879743071. The next prime is 1137879743113. The reversal of 1137879743104 is 4013479787311.

It is a tau number, because it is divible by the number of its divisors (64).

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, 157249 + ... + 1516735.

It is an arithmetic number, because the mean of its divisors is an integer number (38220305760).

Almost surely, 21137879743104 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 1137879743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223049784320).

1137879743104 is an abundant number, since it is smaller than the sum of its proper divisors (1308219825536).

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

1137879743104 is a wasteful number, since it uses less digits than its factorization.

1137879743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360017 (or 1360005 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 1137879743104 in words is "one trillion, one hundred thirty-seven billion, eight hundred seventy-nine million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 503 832 1006 1664 2012 4024 6539 8048 13078 16096 26156 32192 52312 64384 104624 209248 418496 836992 1359487 2718974 5437948 10875896 17673331 21751792 35346662 43503584 70693324 87007168 141386648 174014336 282773296 565546592 683821961 1131093184 1367643922 2262186368 2735287844 5470575688 8889685493 10941151376 17779370986 21882302752 35558741972 43764605504 71117483944 87529211008 142234967888 284469935776 568939871552 1137879743104