Search a number
-
+
1158275207980 = 225112757632267
BaseRepresentation
bin10000110110101110100…
…101010001001100101100
311002201201012011001122001
4100312232211101030230
5122434121423123410
62244034305302044
7146453065552042
oct20665645211454
94081635131561
101158275207980
11407249182300
12168594034924
13852c00b8567
14400bcc60392
15201e1aa433a
hex10dae95132c

1158275207980 has 72 divisors (see below), whose sum is σ = 2677141578384. Its totient is φ = 420633924480.

The previous prime is 1158275207951. The next prime is 1158275207993. The reversal of 1158275207980 is 897025728511.

It is a happy number.

It is a super-2 number, since 2×11582752079802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 23 ways as a sum of consecutive naturals, for example, 1515807 + ... + 2148073.

It is an arithmetic number, because the mean of its divisors is an integer number (37182521922).

Almost surely, 21158275207980 is an apocalyptic number.

1158275207980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1158275207980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338570789192).

1158275207980 is an abundant number, since it is smaller than the sum of its proper divisors (1518866370404).

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

1158275207980 is a wasteful number, since it uses less digits than its factorization.

1158275207980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633055 (or 633042 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 55.

The spelling of 1158275207980 in words is "one trillion, one hundred fifty-eight billion, two hundred seventy-five million, two hundred seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 757 1210 1514 2420 3028 3785 7570 8327 15140 16654 33308 41635 83270 91597 166540 183194 366388 457985 632267 915970 1264534 1831940 2529068 3161335 6322670 6954937 12645340 13909874 27819748 34774685 69549370 76504307 139098740 153008614 306017228 382521535 478626119 765043070 957252238 1530086140 1914504476 2393130595 4786261190 5264887309 9572522380 10529774618 21059549236 26324436545 52648873090 57913760399 105297746180 115827520798 231655041596 289568801995 579137603990 1158275207980