Search a number
-
+
4889334600960 = 28353166340213
BaseRepresentation
bin100011100100110001100…
…0011010101010100000000
3122022102020010122101011020
41013021203003111110000
51120101324124212320
614222043532545440
71013146161250605
oct107114303252400
918272203571136
104889334600960
111615611a10297
1266b704322280
132960a6a81224
1412c9060746ac
15872b1edd940
hex472630d5500

4889334600960 has 144 divisors (see below), whose sum is σ = 15616193881344. Its totient is φ = 1303748960256.

The previous prime is 4889334600923. The next prime is 4889334600989. The reversal of 4889334600960 is 690064339884.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4889334600894 and 4889334600903.

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, 121565814 + ... + 121606026.

Almost surely, 24889334600960 is an apocalyptic number.

4889334600960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4889334600960 is an abundant number, since it is smaller than the sum of its proper divisors (10726859280384).

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

4889334600960 is a wasteful number, since it uses less digits than its factorization.

4889334600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71900 (or 71886 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 4889334600960 in words is "four trillion, eight hundred eighty-nine billion, three hundred thirty-four million, six hundred thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 31663 40213 63326 80426 94989 120639 126652 158315 160852 189978 201065 241278 253304 316630 321704 379956 402130 474945 482556 506608 603195 633260 643408 759912 804260 949890 965112 1013216 1206390 1266520 1286816 1519824 1608520 1899780 1930224 2026432 2412780 2533040 2573632 3039648 3217040 3799560 3860448 4052864 4825560 5066080 5147264 6079296 6434080 7599120 7720896 8105728 9651120 10132160 10294528 12158592 12868160 15198240 15441792 19302240 20264320 24317184 25736320 30396480 30883584 38604480 40528640 51472640 60792960 77208960 121585920 154417920 1273264219 2546528438 3819792657 5093056876 6366321095 7639585314 10186113752 12732642190 15279170628 19098963285 20372227504 25465284380 30558341256 38197926570 40744455008 50930568760 61116682512 76395853140 81488910016 101861137520 122233365024 152791706280 162977820032 203722275040 244466730048 305583412560 325955640064 407444550080 488933460096 611166825120 814889100160 977866920192 1222333650240 1629778200320 2444667300480 4889334600960