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85080048328 = 231123311355987
BaseRepresentation
bin100111100111100101…
…0101000001011001000
322010121101010021020001
41033033022220023020
52343220443021303
6103030224412344
76101235323062
oct1171712501310
9263541107201
1085080048328
113309a518630
12145a51770b4
13803b73ca82
144191716732
15232e48831d
hex13cf2a82c8

85080048328 has 64 divisors (see below), whose sum is σ = 187451781120. Its totient is φ = 35798030400.

The previous prime is 85080048307. The next prime is 85080048329. The reversal of 85080048328 is 82384008058.

It is a happy number.

It is a super-2 number, since 2×850800483282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (85080048329) 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, 615250 + ... + 740737.

It is an arithmetic number, because the mean of its divisors is an integer number (2928934080).

Almost surely, 285080048328 is an apocalyptic number.

85080048328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85080048328 is an abundant number, since it is smaller than the sum of its proper divisors (102371732792).

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

85080048328 is a wasteful number, since it uses less digits than its factorization.

85080048328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356058 (or 1356054 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 85080048328 in words is "eighty-five billion, eighty million, forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 506 682 713 1012 1364 1426 2024 2728 2852 5704 7843 15686 31372 62744 1355987 2711974 5423948 10847896 14915857 29831714 31187701 42035597 59663428 62375402 84071194 119326856 124750804 168142388 249501608 336284776 343064711 462391567 686129422 924783134 966818731 1372258844 1849566268 1933637462 2744517688 3699132536 3867274924 7734549848 10635006041 21270012082 42540024164 85080048328