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1158146048 = 2112321069
BaseRepresentation
bin100010100000111…
…1110100000000000
32222201020220201002
41011001332200000
54332441133143
6310531031132
740462036043
oct10501764000
92881226632
101158146048
1154481a2a4
12283a3b4a8
13155c2bb27
14adb56c5a
156ba1e5b8
hex4507e800

1158146048 has 72 divisors (see below), whose sum is σ = 2423052450. Its totient is φ = 553377792.

The previous prime is 1158146027. The next prime is 1158146069. The reversal of 1158146048 is 8406418511.

It is an interprime number because it is at equal distance from previous prime (1158146027) and next prime (1158146069).

It can be written as a sum of positive squares in only one way, i.e., 1001595904 + 156550144 = 31648^2 + 12512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1082858 + ... + 1083926.

Almost surely, 21158146048 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 1158146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211526225).

1158146048 is an abundant number, since it is smaller than the sum of its proper divisors (1264906402).

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

1158146048 is an equidigital number, since it uses as much as digits as its factorization.

1158146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 1158146048 is about 34031.5448958756. The cubic root of 1158146048 is about 1050.1575116689.

The spelling of 1158146048 in words is "one billion, one hundred fifty-eight million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1069 1472 2048 2116 2138 2944 4232 4276 5888 8464 8552 11776 16928 17104 23552 24587 33856 34208 47104 49174 67712 68416 98348 135424 136832 196696 270848 273664 393392 541696 547328 565501 786784 1083392 1094656 1131002 1573568 2189312 2262004 3147136 4524008 6294272 9048016 12588544 18096032 25177088 36192064 50354176 72384128 144768256 289536512 579073024 1158146048