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84071530992 = 24317239431083
BaseRepresentation
bin100111001001100001…
…1011100000111110000
322001000002102021112010
41032103003130013300
52334134302442432
6102342200402520
76034241136231
oct1162303340760
9261002367463
1084071530992
1132722207629
1214363476440
137c0a80cb57
1440d77cd088
1522c0b733cc
hex13930dc1f0

84071530992 has 80 divisors (see below), whose sum is σ = 230923077120. Its totient is φ = 26264964096.

The previous prime is 84071530979. The next prime is 84071530997. The reversal of 84071530992 is 29903517048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84071530997) 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, 20518 + ... + 410565.

It is an arithmetic number, because the mean of its divisors is an integer number (2886538464).

Almost surely, 284071530992 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 84071530992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115461538560).

84071530992 is an abundant number, since it is smaller than the sum of its proper divisors (146851546128).

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

84071530992 is a wasteful number, since it uses less digits than its factorization.

84071530992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431350 (or 431344 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 84071530992 in words is "eighty-four billion, seventy-one million, five hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 239 272 408 478 717 816 956 1434 1912 2868 3824 4063 5736 8126 11472 12189 16252 24378 32504 48756 65008 97512 195024 431083 862166 1293249 1724332 2586498 3448664 5172996 6897328 7328411 10345992 14656822 20691984 21985233 29313644 43970466 58627288 87940932 103028837 117254576 175881864 206057674 309086511 351763728 412115348 618173022 824230696 1236346044 1648461392 1751490229 2472692088 3502980458 4945384176 5254470687 7005960916 10508941374 14011921832 21017882748 28023843664 42035765496 84071530992