Search a number
-
+
32887446083130 = 23526374314473877
BaseRepresentation
bin1110111101001001101001…
…00010101001011000111010
311022110000020122220122020110
413132210310202221120322
513302311442144130010
6153540141213405150
76633016400214132
oct736446442513072
9138400218818213
1032887446083130
11a52a53aa38121
1238319831997b6
131547371615932
14819a91c15ac2
153c07280e9120
hex1de9348a963a

32887446083130 has 128 divisors (see below), whose sum is σ = 79411925311488. Its totient is φ = 8716602569472.

The previous prime is 32887446083053. The next prime is 32887446083131. The reversal of 32887446083130 is 3138064478823.

It is not an unprimeable number, because it can be changed into a prime (32887446083131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8482702752 + ... + 8482706628.

It is an arithmetic number, because the mean of its divisors is an integer number (620405666496).

Almost surely, 232887446083130 is an apocalyptic number.

32887446083130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32887446083130 is an abundant number, since it is smaller than the sum of its proper divisors (46524479228358).

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

32887446083130 is a wasteful number, since it uses less digits than its factorization.

32887446083130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340.

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 32887446083130 in words is "thirty-two trillion, eight hundred eighty-seven billion, four hundred forty-six million, eighty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 263 526 743 789 1315 1447 1486 1578 2229 2630 2894 3715 3877 3945 4341 4458 7235 7430 7754 7890 8682 11145 11631 14470 19385 21705 22290 23262 38770 43410 58155 116310 195409 380561 390818 586227 761122 977045 1019651 1075121 1141683 1172454 1902805 1954090 2039302 2150242 2283366 2880611 2931135 3058953 3225363 3805610 5098255 5375605 5610019 5708415 5761222 5862270 6117906 6450726 8641833 10196510 10751210 11220038 11416830 14403055 15294765 16126815 16830057 17283666 28050095 28806110 30589530 32253630 33660114 43209165 56100190 84150285 86418330 168300570 282756823 565513646 757600693 848270469 1413784115 1475434997 1515201386 1696540938 2272802079 2827568230 2950869994 3788003465 4168244117 4241352345 4426304991 4545604158 7377174985 7576006930 8336488234 8482704690 8852609982 11364010395 12504732351 14754349970 20841220585 22131524955 22728020790 25009464702 41682441170 44263049910 62523661755 125047323510 1096248202771 2192496405542 3288744608313 5481241013855 6577489216626 10962482027710 16443723041565 32887446083130