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58870470978 = 23411217332
BaseRepresentation
bin110110110100111101…
…000001100101000010
312121221210011210020000
4312310331001211002
51431031320032403
643013354300430
74152602514114
oct666475014502
9177853153200
1058870470978
1122a6a934200
12b4ab727716
13572273aa17
142bc68693b4
1517e84d77a3
hexdb4f41942

58870470978 has 90 divisors (see below), whose sum is σ = 145079505417. Its totient is φ = 17829242640.

The previous prime is 58870470929. The next prime is 58870470983. The reversal of 58870470978 is 87907407885.

58870470978 is a `hidden beast` number, since 5 + 8 + 8 + 70 + 470 + 97 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58686516009 + 183954969 = 242253^2 + 13563^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=171567.

It is a Curzon number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 33969400 + ... + 33971132.

Almost surely, 258870470978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58870470978

58870470978 is an abundant number, since it is smaller than the sum of its proper divisors (86209034439).

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

58870470978 is an equidigital number, since it uses as much as digits as its factorization.

58870470978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 58870470978 in words is "fifty-eight billion, eight hundred seventy million, four hundred seventy thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1733 1782 2178 3267 3466 5199 6534 9801 10398 15597 19063 19602 31194 38126 46791 57189 93582 114378 140373 171567 209693 280746 343134 419386 514701 629079 1029402 1258158 1544103 1887237 3003289 3088206 3774474 5661711 6006578 9009867 11323422 16985133 18019734 27029601 33036179 33970266 54059202 66072358 81088803 99108537 162177606 198217074 243266409 297325611 363397969 486532818 594651222 726795938 891976833 1090193907 1783953666 2180387814 2675930499 3270581721 5351860998 6541163442 9811745163 19623490326 29435235489 58870470978