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86083633400 = 23523133141947
BaseRepresentation
bin101000000101011111…
…1000000000011111000
322020012022112200010112
41100022333000003320
52402244402232100
6103313555003452
76135142545062
oct1201277000370
9266168480115
1086083633400
1133564a6a986
1214825299588
13816b6339ab
144248b18732
15238c626b35
hex140afc00f8

86083633400 has 96 divisors (see below), whose sum is σ = 207229831680. Its totient is φ = 33221232000.

The previous prime is 86083633357. The next prime is 86083633487. The reversal of 86083633400 is 433638068.

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, 2031227 + ... + 2073173.

It is an arithmetic number, because the mean of its divisors is an integer number (2158644080).

Almost surely, 286083633400 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 86083633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103614915840).

86083633400 is an abundant number, since it is smaller than the sum of its proper divisors (121146198280).

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

86083633400 is a wasteful number, since it uses less digits than its factorization.

86083633400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42325 (or 42316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 86083633400 in words is "eighty-six billion, eighty-three million, six hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 331 620 662 775 1240 1324 1550 1655 2648 3100 3310 6200 6620 8275 10261 13240 16550 20522 33100 41044 41947 51305 66200 82088 83894 102610 167788 205220 209735 256525 335576 410440 419470 513050 838940 1026100 1048675 1300357 1677880 2052200 2097350 2600714 4194700 5201428 6501785 8389400 10402856 13003570 13884457 26007140 27768914 32508925 52014280 55537828 65017850 69422285 111075656 130035700 138844570 260071400 277689140 347111425 430418167 555378280 694222850 860836334 1388445700 1721672668 2152090835 2776891400 3443345336 4304181670 8608363340 10760454175 17216726680 21520908350 43041816700 86083633400