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7530870048 = 2531314940499
BaseRepresentation
bin1110000001101111…
…11111010100100000
3201102211122211120220
413000313333110200
5110410400320143
63243140403040
7354423224232
oct70067772440
921384584526
107530870048
113214a86149
1215620a6480
139302a9030
1451626a252
152e122dd83
hex1c0dff520

7530870048 has 96 divisors (see below), whose sum is σ = 21432600000. Its totient is φ = 2301582336.

The previous prime is 7530870047. The next prime is 7530870079. The reversal of 7530870048 is 8400780357.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7530869991 and 7530870009.

It is not an unprimeable number, because it can be changed into a prime (7530870043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165703 + ... + 206201.

It is an arithmetic number, because the mean of its divisors is an integer number (223256250).

Almost surely, 27530870048 is an apocalyptic number.

7530870048 is a gapful number since it is divisible by the number (78) 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 7530870048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716300000).

7530870048 is an abundant number, since it is smaller than the sum of its proper divisors (13901729952).

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

7530870048 is a wasteful number, since it uses less digits than its factorization.

7530870048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40674 (or 40666 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7530870048 is about 86780.5856629235. The cubic root of 7530870048 is about 1960.1157477111.

The spelling of 7530870048 in words is "seven billion, five hundred thirty million, eight hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 298 312 416 447 596 624 894 1192 1248 1788 1937 2384 3576 3874 4768 5811 7152 7748 11622 14304 15496 23244 30992 40499 46488 61984 80998 92976 121497 161996 185952 242994 323992 485988 526487 647984 971976 1052974 1295968 1579461 1943952 2105948 3158922 3887904 4211896 6034351 6317844 8423792 12068702 12635688 16847584 18103053 24137404 25271376 36206106 48274808 50542752 72412212 78446563 96549616 144824424 156893126 193099232 235339689 289648848 313786252 470679378 579297696 627572504 941358756 1255145008 1882717512 2510290016 3765435024 7530870048