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81428479552 = 2677315715859
BaseRepresentation
bin100101111010110000…
…0111111111001000000
321210011220001100120001
41023311200333321000
52313231142321202
6101224022525344
75611605441010
oct1136540777100
9253156040501
1081428479552
11315962879a2
1213946296854
1378a90754a4
143d26781c40
1521b8adbd87
hex12f583fe40

81428479552 has 112 divisors (see below), whose sum is σ = 188402081920. Its totient is φ = 34198474752.

The previous prime is 81428479543. The next prime is 81428479567. The reversal of 81428479552 is 25597482418.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 81428479493 and 81428479502.

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 15 ways as a sum of consecutive naturals, for example, 5126599 + ... + 5142457.

Almost surely, 281428479552 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 81428479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94201040960).

81428479552 is an abundant number, since it is smaller than the sum of its proper divisors (106973602368).

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

81428479552 is a wasteful number, since it uses less digits than its factorization.

81428479552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16108 (or 16098 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 55.

The spelling of 81428479552 in words is "eighty-one billion, four hundred twenty-eight million, four hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 157 224 292 314 448 511 584 628 1022 1099 1168 1256 2044 2198 2336 2512 4088 4396 4672 5024 8176 8792 10048 11461 15859 16352 17584 22922 31718 32704 35168 45844 63436 70336 80227 91688 111013 126872 160454 183376 222026 253744 320908 366752 444052 507488 641816 733504 888104 1014976 1157707 1283632 1776208 2315414 2489863 2567264 3552416 4630828 4979726 5134528 7104832 8103949 9261656 9959452 16207898 17429041 18523312 19918904 32415796 34858082 37046624 39837808 64831592 69716164 74093248 79675616 129663184 139432328 159351232 181759999 259326368 278864656 363519998 518652736 557729312 727039996 1115458624 1272319993 1454079992 2544639986 2908159984 5089279972 5816319968 10178559944 11632639936 20357119888 40714239776 81428479552