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85053532240 = 24573123111831
BaseRepresentation
bin100111100110110010…
…1011110100001010000
322010112112020002222201
41033031211132201100
52343142201012430
6103023440212544
76100464044515
oct1171545364120
9263475202881
1085053532240
1133086557706
121459830a154
1380360b7791
14418bdb330c
15232be9b8ca
hex13cd95e850

85053532240 has 80 divisors (see below), whose sum is σ = 200638158336. Its totient is φ = 33525273600.

The previous prime is 85053532219. The next prime is 85053532241. The reversal of 85053532240 is 4223535058.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85053532240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85053532241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7183125 + ... + 7194955.

Almost surely, 285053532240 is an apocalyptic number.

85053532240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85053532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100319079168).

85053532240 is an abundant number, since it is smaller than the sum of its proper divisors (115584626096).

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

85053532240 is a wasteful number, since it uses less digits than its factorization.

85053532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 85053532240 in words is "eighty-five billion, fifty-three million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1231 1460 2462 2920 4924 5840 6155 9848 11831 12310 19696 23662 24620 47324 49240 59155 89863 94648 98480 118310 179726 189296 236620 359452 449315 473240 718904 863663 898630 946480 1437808 1727326 1797260 3454652 3594520 4318315 6909304 7189040 8636630 13818608 14563961 17273260 29127922 34546520 58255844 69093040 72819805 116511688 145639610 233023376 291279220 582558440 1063169153 1165116880 2126338306 4252676612 5315845765 8505353224 10631691530 17010706448 21263383060 42526766120 85053532240