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84334475148 = 223711116378479
BaseRepresentation
bin100111010001010111…
…0011111011110001100
322001200102012020002120
41032202232133132030
52340204111201043
6102424232252540
76043613132250
oct1164256373614
9261612166076
1084334475148
1132847681450
1214417541150
137c50135201
1441206b8260
1522d8cb2983
hex13a2b9f78c

84334475148 has 96 divisors (see below), whose sum is σ = 245550735360. Its totient is φ = 21885944640.

The previous prime is 84334475087. The next prime is 84334475149. The reversal of 84334475148 is 84157443348.

It is a super-2 number, since 2×843344751482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84334475148.

It is not an unprimeable number, because it can be changed into a prime (84334475149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035373 + ... + 1113851.

It is an arithmetic number, because the mean of its divisors is an integer number (2557820160).

Almost surely, 284334475148 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 84334475148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122775367680).

84334475148 is an abundant number, since it is smaller than the sum of its proper divisors (161216260212).

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

84334475148 is a wasteful number, since it uses less digits than its factorization.

84334475148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79667 (or 79665 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 84334475148 in words is "eighty-four billion, three hundred thirty-four million, four hundred seventy-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1163 2326 3489 4652 6978 8141 12793 13956 16282 24423 25586 32564 38379 48846 51172 76758 78479 89551 97692 153516 156958 179102 235437 268653 313916 358204 470874 537306 549353 863269 941748 1074612 1098706 1648059 1726538 2197412 2589807 3296118 3453076 5179614 6042883 6592236 10359228 12085766 18128649 24171532 36257298 72514596 91271077 182542154 273813231 365084308 547626462 638897539 1003981847 1095252924 1277795078 1916692617 2007963694 2555590156 3011945541 3833385234 4015927388 6023891082 7027872929 7666770468 12047782164 14055745858 21083618787 28111491716 42167237574 84334475148