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78283432134504 = 23334713669564133
BaseRepresentation
bin10001110011001011001000…
…001010100000011101101000
3101021011211012222120102121000
4101303023020022200131220
540230043432111301004
6434254525013515000
722326535266034032
oct2163131012403550
9337154188512530
1078283432134504
1122a418a9660033
128943a2b042a60
13348b132b1934c
141548d1cad4c52
1590b4e9852c39
hex4732c82a0768

78283432134504 has 128 divisors (see below), whose sum is σ = 222097299264000. Its totient is φ = 25537362054912.

The previous prime is 78283432134469. The next prime is 78283432134511. The reversal of 78283432134504 is 40543123438287.

78283432134504 is a `hidden beast` number, since 7 + 8 + 2 + 83 + 4 + 3 + 21 + 34 + 504 = 666.

It is a super-2 number, since 2×782834321345042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138485622 + ... + 139049754.

It is an arithmetic number, because the mean of its divisors is an integer number (1735135150500).

Almost surely, 278283432134504 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 78283432134504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111048649632000).

78283432134504 is an abundant number, since it is smaller than the sum of its proper divisors (143813867129496).

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

78283432134504 is a wasteful number, since it uses less digits than its factorization.

78283432134504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577864 (or 577854 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 78283432134504 in words is "seventy-eight trillion, two hundred eighty-three billion, four hundred thirty-two million, one hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 13669 27338 41007 54676 82014 109352 123021 164028 246042 328056 369063 492084 564133 642443 738126 984168 1128266 1284886 1476252 1692399 1927329 2256532 2569772 2952504 3384798 3854658 4513064 5077197 5139544 5781987 6769596 7709316 10154394 11563974 13539192 15231591 15418632 17345961 20308788 23127948 26514251 30463182 34691922 40617576 46255896 53028502 60926364 69383844 79542753 106057004 121852728 138767688 159085506 212114008 238628259 318171012 477256518 636342024 715884777 954513036 1431769554 1909026072 2863539108 5727078216 7711133977 15422267954 23133401931 30844535908 46266803862 61689071816 69400205793 92533607724 138800411586 185067215448 208200617379 277600823172 362423296919 416401234758 555201646344 724846593838 832802469516 1087269890757 1449693187676 1665604939032 2174539781514 2899386375352 3261809672271 4349079563028 6523619344542 8698159126056 9785429016813 13047238689084 19570858033626 26094477378168 39141716067252 78283432134504