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70872148608 = 27313110931289
BaseRepresentation
bin100001000000001001…
…1110010101010000000
320202221012110011211220
41002000103302222000
52130121232223413
652320324035040
75056164215652
oct1020023625200
9222835404756
1070872148608
1128069531248
121189ab32a80
1368b603c011
1436047a26d2
151c9be8a223
hex10804f2a80

70872148608 has 128 divisors (see below), whose sum is σ = 190012046400. Its totient is φ = 23404093440.

The previous prime is 70872148559. The next prime is 70872148673. The reversal of 70872148608 is 80684127807.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×708721486082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54981628 + ... + 54982916.

Almost surely, 270872148608 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 70872148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95006023200).

70872148608 is an abundant number, since it is smaller than the sum of its proper divisors (119139897792).

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

70872148608 is a wasteful number, since it uses less digits than its factorization.

70872148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 70872148608 in words is "seventy billion, eight hundred seventy-two million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1093 1289 1572 2096 2186 2578 3144 3279 3867 4192 4372 5156 6288 6558 7734 8384 8744 10312 12576 13116 15468 16768 17488 20624 25152 26232 30936 34976 41248 50304 52464 61872 69952 82496 104928 123744 139904 143183 164992 168859 209856 247488 286366 337718 419712 429549 494976 506577 572732 675436 859098 1013154 1145464 1350872 1408877 1718196 2026308 2290928 2701744 2817754 3436392 4052616 4226631 4581856 5403488 5635508 6872784 8105232 8453262 9163712 10806976 11271016 13745568 16210464 16906524 18327424 21613952 22542032 27491136 32420928 33813048 45084064 54982272 64841856 67626096 90168128 135252192 180336256 184562887 270504384 369125774 541008768 553688661 738251548 1107377322 1476503096 2214754644 2953006192 4429509288 5906012384 8859018576 11812024768 17718037152 23624049536 35436074304 70872148608