Search a number
-
+
48102917004 = 2232291072231931
BaseRepresentation
bin101100110011001010…
…000100001110001100
311121011101010100222200
4230303022010032030
51242003321321004
634033112241500
73322015022352
oct546312041614
9147141110880
1048102917004
111944492a56a
1293a56a0290
1346c7a1aacc
1424847c57d2
1513b8061239
hexb3328438c

48102917004 has 144 divisors (see below), whose sum is σ = 127597317120. Its totient is φ = 15260031360.

The previous prime is 48102916991. The next prime is 48102917029. The reversal of 48102917004 is 40071920184.

48102917004 is a `hidden beast` number, since 481 + 0 + 2 + 9 + 170 + 0 + 4 = 666.

It is a super-3 number, since 3×481029170043 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48102917004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24909919 + ... + 24911849.

It is an arithmetic number, because the mean of its divisors is an integer number (886092480).

Almost surely, 248102917004 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 48102917004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63798658560).

48102917004 is an abundant number, since it is smaller than the sum of its proper divisors (79494400116).

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

48102917004 is a wasteful number, since it uses less digits than its factorization.

48102917004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 48102917004 in words is "forty-eight billion, one hundred two million, nine hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 107 116 174 214 223 261 321 348 428 446 522 642 669 892 963 1044 1284 1338 1926 1931 2007 2676 3103 3852 3862 4014 5793 6206 6467 7724 8028 9309 11586 12412 12934 17379 18618 19401 23172 23861 25868 27927 34758 37236 38802 47722 55854 55999 58203 69516 71583 77604 95444 111708 111998 116406 143166 167997 206617 214749 223996 232812 286332 335994 413234 429498 430613 503991 619851 671988 691969 826468 858996 861226 1007982 1239702 1291839 1383938 1722452 1859553 2015964 2075907 2479404 2583678 2767876 3719106 3875517 4151814 5167356 5991893 6227721 7438212 7751034 8303628 11983786 12455442 12487777 15502068 17975679 23967572 24910884 24975554 35951358 37463331 46075591 49951108 53927037 71902716 74926662 92151182 107854074 112389993 138226773 149853324 184302364 215708148 224779986 276453546 414680319 449559972 552907092 829360638 1336192139 1658721276 2672384278 4008576417 5344768556 8017152834 12025729251 16034305668 24051458502 48102917004