Search a number
-
+
10046001480 = 2335194406141
BaseRepresentation
bin10010101101100100…
…11101000101001000
3221221010022202021220
421112302131011020
5131033234021410
64340504402040
7503643414024
oct112662350510
927833282256
1010046001480
114295784669
121b44476320
13c413a5898
146b42d9384
153dbe48070
hex256c9d148

10046001480 has 64 divisors (see below), whose sum is σ = 31724222400. Its totient is φ = 2537936640.

The previous prime is 10046001473. The next prime is 10046001487. The reversal of 10046001480 is 8410064001.

It is an interprime number because it is at equal distance from previous prime (10046001473) and next prime (10046001487).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10046001480.

It is not an unprimeable number, because it can be changed into a prime (10046001487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200791 + ... + 2205350.

It is an arithmetic number, because the mean of its divisors is an integer number (495690975).

Almost surely, 210046001480 is an apocalyptic number.

10046001480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10046001480 is an abundant number, since it is smaller than the sum of its proper divisors (21678220920).

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

10046001480 is a wasteful number, since it uses less digits than its factorization.

10046001480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406174 (or 4406170 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10046001480 its reverse (8410064001), we get a palindrome (18456065481).

The spelling of 10046001480 in words is "ten billion, forty-six million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4406141 8812282 13218423 17624564 22030705 26436846 35249128 44061410 52873692 66092115 83716679 88122820 105747384 132184230 167433358 176245640 251150037 264368460 334866716 418583395 502300074 528736920 669733432 837166790 1004600148 1255750185 1674333580 2009200296 2511500370 3348667160 5023000740 10046001480