Search a number
-
+
4983730459760 = 2451317599470593
BaseRepresentation
bin100100010000101110101…
…1110111101010001110000
3122122102212202002211220202
41020201131132331101300
51123123134444203020
614333254423454332
71023030325644203
oct110413536752160
918572782084822
104983730459760
111651651a12138
12685a692b73a8
132a1c6b516590
141332dcacd93a
1589989236e75
hex4885d7bd470

4983730459760 has 160 divisors (see below), whose sum is σ = 13234609180800. Its totient is φ = 1729007714304.

The previous prime is 4983730459753. The next prime is 4983730459769. The reversal of 4983730459760 is 679540373894.

It is a super-4 number, since 4×49837304597604 (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4983730459769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10355024 + ... + 10825616.

It is an arithmetic number, because the mean of its divisors is an integer number (82716307380).

Almost surely, 24983730459760 is an apocalyptic number.

4983730459760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4983730459760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617304590400).

4983730459760 is an abundant number, since it is smaller than the sum of its proper divisors (8250878721040).

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

4983730459760 is a wasteful number, since it uses less digits than its factorization.

4983730459760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471235 (or 471229 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 65.

The spelling of 4983730459760 in words is "four trillion, nine hundred eighty-three billion, seven hundred thirty million, four hundred fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 599 680 884 1040 1105 1198 1360 1768 2210 2396 2995 3536 4420 4792 5990 7787 8840 9584 10183 11980 15574 17680 20366 23960 31148 38935 40732 47920 50915 62296 77870 81464 101830 124592 132379 155740 162928 203660 264758 311480 407320 470593 529516 622960 661895 814640 941186 1059032 1323790 1882372 2118064 2352965 2647580 3764744 4705930 5295160 6117709 7529488 8000081 9411860 10590320 12235418 16000162 18823720 24470836 30588545 32000324 37647440 40000405 48941672 61177090 64000648 80000810 97883344 104001053 122354180 128001296 160001620 208002106 244708360 281885207 320003240 416004212 489416720 520005265 563770414 640006480 832008424 1040010530 1127540828 1409426035 1664016848 2080021060 2255081656 2818852070 3664507691 4160042120 4510163312 4792048519 5637704140 7329015382 8320084240 9584097038 11275408280 14658030764 18322538455 19168194076 22550816560 23960242595 29316061528 36645076910 38336388152 47920485190 58632123056 62296630747 73290153820 76672776304 95840970380 124593261494 146580307640 191681940760 249186522988 293160615280 311483153735 383363881520 498373045976 622966307470 996746091952 1245932614940 2491865229880 4983730459760