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83557272552 = 233131635413037
BaseRepresentation
bin100110111010001100…
…1101100101111101000
321222200020202020120020
41031310121230233220
52332111130210202
6102215150200440
76015425045415
oct1156431545750
9258606666506
1083557272552
11324889a1656
121423b1b3120
137b58104b10
1440893a510c
1522909405bc
hex137466cbe8

83557272552 has 128 divisors (see below), whose sum is σ = 226835064960. Its totient is φ = 25496570880.

The previous prime is 83557272527. The next prime is 83557272587. The reversal of 83557272552 is 25527275538.

It is a junction number, because it is equal to n+sod(n) for n = 83557272495 and 83557272504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27511578 + ... + 27514614.

It is an arithmetic number, because the mean of its divisors is an integer number (1772148945).

Almost surely, 283557272552 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 83557272552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113417532480).

83557272552 is an abundant number, since it is smaller than the sum of its proper divisors (143277792408).

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

83557272552 is a wasteful number, since it uses less digits than its factorization.

83557272552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3759 counting only the distinct ones).

The product of its digits is 5880000, while the sum is 51.

The spelling of 83557272552 in words is "eighty-three billion, five hundred fifty-seven million, two hundred seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 489 541 652 978 1082 1304 1623 1956 2119 2164 3037 3246 3912 4238 4328 6074 6357 6492 7033 8476 9111 12148 12714 12984 14066 16952 18222 21099 24296 25428 28132 36444 39481 42198 50856 56264 72888 78962 84396 88183 118443 157924 168792 176366 236886 264549 315848 352732 473772 495031 529098 705464 947544 990062 1058196 1146379 1485093 1643017 1980124 2116392 2292758 2970186 3286034 3439137 3960248 4585516 4929051 5940372 6435403 6572068 6878274 9171032 9858102 11880744 12870806 13144136 13756548 19306209 19716204 21359221 25741612 27513096 38612418 39432408 42718442 51483224 64077663 77224836 85436884 128155326 154449672 170873768 256310652 267811771 512621304 535623542 803435313 1071247084 1606870626 2142494168 3213741252 3481553023 6427482504 6963106046 10444659069 13926212092 20889318138 27852424184 41778636276 83557272552