Search a number
-
+
83441327700 = 2235213112971637
BaseRepresentation
bin100110110110101111…
…1011001111001010100
321222101011120122010110
41031231133121321110
52331341434441300
6102155445123020
76012516403653
oct1155537317124
9258334518113
1083441327700
11324294aa565
12142083b9470
137b3a09a8b3
144077c2319a
15228568b550
hex136d7d9e54

83441327700 has 144 divisors (see below), whose sum is σ = 243602783424. Its totient is φ = 22050662400.

The previous prime is 83441327693. The next prime is 83441327701. The reversal of 83441327700 is 772314438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83441327701) 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, 50971282 + ... + 50972918.

It is an arithmetic number, because the mean of its divisors is an integer number (1691685996).

Almost surely, 283441327700 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 83441327700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121801391712).

83441327700 is an abundant number, since it is smaller than the sum of its proper divisors (160161455724).

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

83441327700 is a wasteful number, since it uses less digits than its factorization.

83441327700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 83441327700 in words is "eighty-three billion, four hundred forty-one million, three hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1297 1310 1572 1637 1965 2594 2620 3274 3275 3891 3930 4911 5188 6485 6548 6550 7782 7860 8185 9822 9825 12970 13100 15564 16370 19455 19644 19650 24555 25940 32425 32740 38910 39300 40925 49110 64850 77820 81850 97275 98220 122775 129700 163700 169907 194550 214447 245550 339814 389100 428894 491100 509721 643341 679628 849535 857788 1019442 1072235 1286682 1699070 2038884 2123189 2144470 2548605 2573364 3216705 3398140 4246378 4247675 4288940 5097210 5361175 6369567 6433410 8492756 8495350 10194420 10615945 10722350 12739134 12743025 12866820 16083525 16990700 21231890 21444700 25478268 25486050 31847835 32167050 42463780 50972100 53079725 63695670 64334100 106159450 127391340 159239175 212318900 278137759 318478350 556275518 636956700 834413277 1112551036 1390688795 1668826554 2781377590 3337653108 4172066385 5562755180 6953443975 8344132770 13906887950 16688265540 20860331925 27813775900 41720663850 83441327700