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81225002496 = 293118275813
BaseRepresentation
bin100101110100101100…
…0110010111000000000
321202122201011122111210
41023221120302320000
52312322100034441
6101151513410120
75603555062311
oct1135130627000
9252581148453
1081225002496
11314a143a640
12138aa109940
137875b71671
143d07736608
1521a5ce7616
hex12e9632e00

81225002496 has 160 divisors (see below), whose sum is σ = 236386263168. Its totient is φ = 24579645440.

The previous prime is 81225002473. The next prime is 81225002503. The reversal of 81225002496 is 69420052218.

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, 13970086 + ... + 13975898.

Almost surely, 281225002496 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 81225002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118193131584).

81225002496 is an abundant number, since it is smaller than the sum of its proper divisors (155161260672).

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

81225002496 is a wasteful number, since it uses less digits than its factorization.

81225002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 81225002496 in words is "eighty-one billion, two hundred twenty-five million, two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 827 1056 1408 1536 1654 2112 2481 2816 3308 4224 4962 5632 5813 6616 8448 9097 9924 11626 13232 16896 17439 18194 19848 23252 26464 27291 34878 36388 39696 46504 52928 54582 63943 69756 72776 79392 93008 105856 109164 127886 139512 145552 158784 186016 191829 211712 218328 255772 279024 291104 317568 372032 383658 423424 436656 511544 558048 582208 635136 744064 767316 873312 1023088 1116096 1164416 1270272 1488128 1534632 1746624 2046176 2232192 2328832 2976256 3069264 3493248 4092352 4464384 4657664 4807351 6138528 6986496 8184704 8928768 9614702 12277056 13972992 14422053 16369408 19229404 24554112 28844106 32738816 38458808 49108224 52880861 57688212 76917616 98216448 105761722 115376424 153835232 158642583 211523444 230752848 307670464 317285166 423046888 461505696 615340928 634570332 846093776 923011392 1230681856 1269140664 1692187552 1846022784 2461363712 2538281328 3384375104 3692045568 5076562656 6768750208 7384091136 10153125312 13537500416 20306250624 27075000832 40612501248 81225002496