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83354121396 = 2232713113225167
BaseRepresentation
bin100110110100001001…
…0101111010010110100
321222011002111002120100
41031220102233102310
52331202123341041
6102143052034100
76010410225120
oct1155022572264
9258132432510
1083354121396
1132394257137
12141a3162930
137b24cb6430
14406a402580
15227cbb26b6
hex13684af4b4

83354121396 has 144 divisors (see below), whose sum is σ = 261619997184. Its totient is φ = 21788863488.

The previous prime is 83354121373. The next prime is 83354121397. The reversal of 83354121396 is 69312145338.

83354121396 is a `hidden beast` number, since 8 + 3 + 3 + 541 + 2 + 13 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83354121397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257605 + ... + 482771.

It is an arithmetic number, because the mean of its divisors is an integer number (1816805536).

Almost surely, 283354121396 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 83354121396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130809998592).

83354121396 is an abundant number, since it is smaller than the sum of its proper divisors (178265875788).

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

83354121396 is a wasteful number, since it uses less digits than its factorization.

83354121396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225310 (or 225305 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 83354121396 in words is "eighty-three billion, three hundred fifty-four million, one hundred twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 113 117 126 156 182 226 234 252 273 339 364 452 468 546 678 791 819 1017 1092 1356 1469 1582 1638 2034 2373 2938 3164 3276 4068 4407 4746 5876 7119 8814 9492 10283 13221 14238 17628 20566 26442 28476 30849 41132 52884 61698 92547 123396 185094 225167 370188 450334 675501 900668 1351002 1576169 2026503 2702004 2927171 3152338 4053006 4728507 5854342 6304676 8106012 8781513 9457014 11708684 14185521 17563026 18914028 20490197 25443871 26344539 28371042 35126052 40980394 50887742 52689078 56742084 61470591 76331613 81960788 101775484 105378156 122941182 152663226 178107097 184411773 228994839 245882364 305326452 330770323 356214194 368823546 457989678 534321291 661540646 712428388 737647092 915979356 992310969 1068642582 1323081292 1602963873 1984621938 2137285164 2315392261 2976932907 3205927746 3969243876 4630784522 5953865814 6411855492 6946176783 9261569044 11907731628 13892353566 20838530349 27784707132 41677060698 83354121396