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73920103936 = 2971710311779
BaseRepresentation
bin100010011010111111…
…0110100011000000000
321001210121201100112021
41010311332310120000
52202342021311221
653543004211224
75224544342050
oct1046576643000
9231717640467
1073920103936
1129392a76198
12123ab839b14
136c80644093
1438134cd560
151dc9853041
hex1135fb4600

73920103936 has 160 divisors (see below), whose sum is σ = 180474877440. Its totient is φ = 29524525056.

The previous prime is 73920103921. The next prime is 73920104009. The reversal of 73920103936 is 63930102937.

It is a junction number, because it is equal to n+sod(n) for n = 73920103892 and 73920103901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6269695 + ... + 6281473.

It is an arithmetic number, because the mean of its divisors is an integer number (1127967984).

Almost surely, 273920103936 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 73920103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90237438720).

73920103936 is an abundant number, since it is smaller than the sum of its proper divisors (106554773504).

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

73920103936 is a wasteful number, since it uses less digits than its factorization.

73920103936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

Subtracting from 73920103936 its reverse (63930102937), we obtain a palindrome (9990000999).

The spelling of 73920103936 in words is "seventy-three billion, nine hundred twenty million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 103 112 119 128 136 206 224 238 256 272 412 448 476 512 544 721 824 896 952 1088 1442 1648 1751 1792 1904 2176 2884 3296 3502 3584 3808 4352 5768 6592 7004 7616 8704 11536 11779 12257 13184 14008 15232 23072 23558 24514 26368 28016 30464 46144 47116 49028 52736 56032 60928 82453 92288 94232 98056 112064 164906 184576 188464 196112 200243 224128 329812 369152 376928 392224 400486 448256 659624 753856 784448 800972 896512 1213237 1319248 1401701 1507712 1568896 1601944 2426474 2638496 2803402 3015424 3137792 3203888 4852948 5276992 5606804 6030848 6275584 6407776 8492659 9705896 10553984 11213608 12815552 16985318 19411792 20625029 21107968 22427216 25631104 33970636 38823584 41250058 42215936 44854432 51262208 67941272 77647168 82500116 89708864 102524416 135882544 144375203 155294336 165000232 179417728 271765088 288750406 310588672 330000464 358835456 543530176 577500812 621177344 660000928 717670912 1087060352 1155001624 1320001856 2174120704 2310003248 2640003712 4348241408 4620006496 5280007424 9240012992 10560014848 18480025984 36960051968 73920103936