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85055025312 = 25324875771051
BaseRepresentation
bin100111100110110101…
…1001011000010100000
322010112122000222002200
41033031223023002200
52343143041302222
6103023532213200
76100512533505
oct1171553130240
9263478028080
1085055025312
1133087387454
121459890a200
1380364bb25a
14418c2814ac
15232c193eac
hex13cdacb0a0

85055025312 has 144 divisors (see below), whose sum is σ = 243022957632. Its totient is φ = 28217548800.

The previous prime is 85055025287. The next prime is 85055025329. The reversal of 85055025312 is 21352055058.

85055025312 is a `hidden beast` number, since 8 + 50 + 550 + 2 + 53 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80927187 + ... + 80928237.

It is an arithmetic number, because the mean of its divisors is an integer number (1687659428).

Almost surely, 285055025312 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 85055025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121511478816).

85055025312 is an abundant number, since it is smaller than the sum of its proper divisors (157967932320).

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

85055025312 is a wasteful number, since it uses less digits than its factorization.

85055025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 85055025312 in words is "eighty-five billion, fifty-five million, twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 487 577 974 1051 1154 1461 1731 1948 2102 2308 2922 3153 3462 3896 4204 4383 4616 5193 5844 6306 6924 7792 8408 8766 9232 9459 10386 11688 12612 13848 15584 16816 17532 18464 18918 20772 23376 25224 27696 33632 35064 37836 41544 46752 50448 55392 70128 75672 83088 100896 140256 151344 166176 280999 302688 511837 561998 606427 842997 1023674 1123996 1212854 1535511 1685994 1819281 2047348 2247992 2425708 2528991 3071022 3371988 3638562 4094696 4495984 4606533 4851416 5057982 5457843 6142044 6743976 7277124 8189392 8991968 9213066 9702832 10115964 10915686 12284088 13487952 14554248 16378784 18426132 19405664 20231928 21831372 24568176 26975904 29108496 36852264 40463856 43662744 49136352 58216992 73704528 80927712 87325488 147409056 174650976 295329949 590659898 885989847 1181319796 1771979694 2362639592 2657969541 3543959388 4725279184 5315939082 7087918776 9450558368 10631878164 14175837552 21263756328 28351675104 42527512656 85055025312