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83214482554112 = 2871313009274583
BaseRepresentation
bin10010111010111011100001…
…101011000011110100000000
3101220122020010100212221221112
4102322323201223003310000
541401341230013212422
6452552112221342452
723346022311033320
oct2272734153036400
9356566110787845
1083214482554112
11245730780062a8
1293bb635a07a28
133758127277520
141679861179280
159948edca3ee2
hex4baee1ac3d00

83214482554112 has 144 divisors (see below), whose sum is σ = 204452039258880. Its totient is φ = 32917364637696.

The previous prime is 83214482554103. The next prime is 83214482554213. The reversal of 83214482554112 is 21145528441238.

It is a super-2 number, since 2×832144825541122 (a number of 29 digits) contains 22 as substring.

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, 302920373 + ... + 303194955.

Almost surely, 283214482554112 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 83214482554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102226019629440).

83214482554112 is an abundant number, since it is smaller than the sum of its proper divisors (121237556704768).

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

83214482554112 is a wasteful number, since it uses less digits than its factorization.

83214482554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287628 (or 287614 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 50.

The spelling of 83214482554112 in words is "eighty-three trillion, two hundred fourteen billion, four hundred eighty-two million, five hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 13009 23296 26018 52036 91063 104072 169117 182126 208144 274583 338234 364252 416288 549166 676468 728504 832576 1098332 1183819 1352936 1457008 1665152 1922081 2196664 2367638 2705872 2914016 3330304 3569579 3844162 4393328 4735276 5411744 5828032 7139158 7688324 8786656 9470552 10823488 11656064 14278316 15376648 17573312 18941104 21646976 23312128 24987053 28556632 30753296 35146624 37882208 43293952 49974106 57113264 61506592 70293248 75764416 99948212 114226528 123013184 151528832 199896424 228453056 246026368 303057664 399792848 456906112 492052736 799585696 913812224 1599171392 3198342784 3572050247 6396685568 7144100494 14288200988 25004351729 28576401976 46436653211 50008703458 57152803952 92873306422 100017406916 114305607904 185746612844 200034813832 228611215808 325056572477 371493225688 400069627664 457222431616 650113144954 742986451376 800139255328 914444863232 1300226289908 1485972902752 1600278510656 2600452579816 2971945805504 3200557021312 5200905159632 5943891611008 6401114042624 10401810319264 11887783222016 20803620638528 41607241277056 83214482554112