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84375413472 = 2537172434459
BaseRepresentation
bin100111010010100101…
…0101010001011100000
322001210021020002220210
41032211022222023200
52340300101212342
6102432253534120
76044621116050
oct1164512521340
9261707202823
1084375413472
11328687a2a79
12144291a4340
137c58769b7c
144125cd3560
1522dc69c79c
hex13a52aa2e0

84375413472 has 144 divisors (see below), whose sum is σ = 268892507520. Its totient is φ = 22689134592.

The previous prime is 84375413407. The next prime is 84375413533. The reversal of 84375413472 is 27431457348.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23022 + ... + 411437.

It is an arithmetic number, because the mean of its divisors is an integer number (1867309080).

Almost surely, 284375413472 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 84375413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134446253760).

84375413472 is an abundant number, since it is smaller than the sum of its proper divisors (184517094048).

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

84375413472 is a wasteful number, since it uses less digits than its factorization.

84375413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434513 (or 434488 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 84375413472 in words is "eighty-four billion, three hundred seventy-five million, four hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4624 5712 6069 6936 8092 9248 11424 12138 13872 16184 24276 27744 32368 48552 64736 97104 194208 434459 868918 1303377 1737836 2606754 3041213 3475672 5213508 6082426 6951344 7385803 9123639 10427016 12164852 13902688 14771606 18247278 20854032 22157409 24329704 29543212 36494556 41708064 44314818 48659408 51700621 59086424 72989112 88629636 97318816 103401242 118172848 125558651 145978224 155101863 177259272 206802484 236345696 251117302 291956448 310203726 354518544 376675953 413604968 502234604 620407452 709037088 753351906 827209936 878910557 1004469208 1240814904 1506703812 1654419872 1757821114 2008938416 2481629808 2636731671 3013407624 3515642228 4017876832 4963259616 5273463342 6026815248 7031284456 10546926684 12053630496 14062568912 21093853368 28125137824 42187706736 84375413472