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2148048004746 = 2371201151128183
BaseRepresentation
bin11111010000100001101…
…000110110011010001010
321121100111011021201202010
4133100201220312122022
5240143200242122441
64322444415320350
7311122426532040
oct37204150663212
97540434251663
102148048004746
11758a89110016
122a8380b200b6
131277385a6647
1475d74cc0390
153ad2052d116
hex1f421a3668a

2148048004746 has 64 divisors (see below), whose sum is σ = 4917338689536. Its totient is φ = 612789408000.

The previous prime is 2148048004741. The next prime is 2148048004747. The reversal of 2148048004746 is 6474008408412.

It is a super-2 number, since 2×21480480047462 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148048004695 and 2148048004704.

It is not an unprimeable number, because it can be changed into a prime (2148048004741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76203771 + ... + 76231953.

It is an arithmetic number, because the mean of its divisors is an integer number (76833417024).

Almost surely, 22148048004746 is an apocalyptic number.

2148048004746 is an abundant number, since it is smaller than the sum of its proper divisors (2769290684790).

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

2148048004746 is a wasteful number, since it uses less digits than its factorization.

2148048004746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30907.

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 2148048004746 in words is "two trillion, one hundred forty-eight billion, forty-eight million, four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 1201 1511 2402 3022 3603 4533 7206 8407 9066 10577 16814 21154 25221 28183 31731 50442 56366 63462 84549 169098 197281 394562 591843 1183686 1814711 3629422 5444133 10888266 12702977 25405954 33847783 38108931 42584513 67695566 76217862 85169026 101543349 127753539 203086698 236934481 255507078 298091591 473868962 596183182 710803443 894274773 1421606886 1788549546 51144000113 102288000226 153432000339 306864000678 358008000791 716016001582 1074024002373 2148048004746