Search a number
-
+
488816372538 = 233131983441547
BaseRepresentation
bin1110001110011111011…
…10011110101100111010
31201201201110020120111000
413013033232132230322
531002043442410123
61012320435145430
750213216416434
oct7071756365472
91651643216430
10488816372538
1117934010a67a
127a89b745276
133713117c430
1419931bd3654
15caaddc0b43
hex71cfb9eb3a

488816372538 has 128 divisors (see below), whose sum is σ = 1246225075200. Its totient is φ = 140771929536.

The previous prime is 488816372479. The next prime is 488816372543. The reversal of 488816372538 is 835273618884.

488816372538 is a `hidden beast` number, since 4 + 8 + 88 + 16 + 3 + 7 + 2 + 538 = 666.

It is a super-2 number, since 2×4888163725382 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886281 + ... + 1327827.

It is an arithmetic number, because the mean of its divisors is an integer number (9736133400).

Almost surely, 2488816372538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488816372538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623112537600).

488816372538 is an abundant number, since it is smaller than the sum of its proper divisors (757408702662).

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

488816372538 is a wasteful number, since it uses less digits than its factorization.

488816372538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441673 (or 441667 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 488816372538 in words is "four hundred eighty-eight billion, eight hundred sixteen million, three hundred seventy-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 83 114 117 166 171 234 247 249 342 351 494 498 513 702 741 747 1026 1079 1482 1494 1577 2158 2223 2241 3154 3237 4446 4482 4731 6474 6669 9462 9711 13338 14193 19422 20501 28386 29133 41002 42579 58266 61503 85158 123006 184509 369018 441547 553527 883094 1107054 1324641 2649282 3973923 5740111 7947846 8389393 11480222 11921769 16778786 17220333 23843538 25168179 34440666 36648401 50336358 51660999 73296802 75504537 103321998 109062109 109945203 151009074 154982997 218124218 219890406 226513611 309965994 327186327 329835609 453027222 476429213 654372654 659671218 696319619 952858426 981558981 989506827 1392639238 1429287639 1963117962 1979013654 2088958857 2858575278 2944676943 4177917714 4287862917 5889353886 6266876571 8575725834 9052155047 12533753142 12863588751 18104310094 18800629713 25727177502 27156465141 37601259426 54312930282 81469395423 162938790846 244408186269 488816372538