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85154022480 = 2435433819419
BaseRepresentation
bin100111101001110010…
…0110100010001010000
322010210112022112200110
41033103210310101100
52343343412204410
6103041430121320
76103124151132
oct1172344642120
9263715275613
1085154022480
113312825349a
1214605ab0240
138050b70467
14419b491052
152335beb720
hex13d3934450

85154022480 has 80 divisors (see below), whose sum is σ = 264587440320. Its totient is φ = 22655268864.

The previous prime is 85154022461. The next prime is 85154022493. The reversal of 85154022480 is 8422045158.

It is a happy number.

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

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, 305790 + ... + 513629.

It is an arithmetic number, because the mean of its divisors is an integer number (3307343004).

Almost surely, 285154022480 is an apocalyptic number.

85154022480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85154022480 is an abundant number, since it is smaller than the sum of its proper divisors (179433417840).

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

85154022480 is a wasteful number, since it uses less digits than its factorization.

85154022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819868 (or 819862 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The spelling of 85154022480 in words is "eighty-five billion, one hundred fifty-four million, twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 433 866 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 17320 20784 25980 34640 51960 103920 819419 1638838 2458257 3277676 4097095 4916514 6555352 8194190 9833028 12291285 13110704 16388380 19666056 24582570 32776760 39332112 49165140 65553520 98330280 196660560 354808427 709616854 1064425281 1419233708 1774042135 2128850562 2838467416 3548084270 4257701124 5322126405 5676934832 7096168540 8515402248 10644252810 14192337080 17030804496 21288505620 28384674160 42577011240 85154022480