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83333339136 = 21135167449
BaseRepresentation
bin100110110011100001…
…1011101100000000000
321222002122101020200000
41031213003131200000
52331131313323021
6102141030400000
76010035460335
oct1154703354000
9258078336600
1083333339136
1132383552113
1214198200000
137b208bac38
14406775298c
15227ae59b26
hex13670dd800

83333339136 has 144 divisors (see below), whose sum is σ = 249597621000. Its totient is φ = 27777613824.

The previous prime is 83333339129. The next prime is 83333339153. The reversal of 83333339136 is 63193333338.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83333339091 and 83333339100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413940 + ... + 581388.

Almost surely, 283333339136 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 83333339136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798810500).

83333339136 is an abundant number, since it is smaller than the sum of its proper divisors (166264281864).

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

83333339136 is an equidigital number, since it uses as much as digits as its factorization.

83333339136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167486 (or 167454 counting only the distinct ones).

The product of its digits is 944784, while the sum is 45.

The spelling of 83333339136 in words is "eighty-three billion, three hundred thirty-three million, three hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18432 20736 27648 31104 41472 55296 62208 82944 124416 165888 167449 248832 334898 497664 502347 669796 1004694 1339592 1507041 2009388 2679184 3014082 4018776 4521123 5358368 6028164 8037552 9042246 10716736 12056328 13563369 16075104 18084492 21433472 24112656 27126738 32150208 36168984 40690107 42866944 48225312 54253476 64300416 72337968 81380214 85733888 96450624 108506952 128600832 144675936 162760428 171467776 192901248 217013904 257201664 289351872 325520856 342935552 385802496 434027808 514403328 578703744 651041712 771604992 868055616 1028806656 1157407488 1302083424 1543209984 1736111232 2314814976 2604166848 3086419968 3472222464 4629629952 5208333696 6944444928 9259259904 10416667392 13888889856 20833334784 27777779712 41666669568 83333339136