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4873051835001 = 3274150172
BaseRepresentation
bin100011011101001100010…
…0001100000101001111001
3122020212012100202011101100
41012322120201200221321
51114320002232210001
614210352112442013
71012031524110000
oct106723041405171
918225170664340
104873051835001
1116097167a2219
1266851b249309
132946b055267c
1412bbdd737c37
1586b5c790586
hex46e98860a79

4873051835001 has 45 divisors (see below), whose sum is σ = 8212053003791. Its totient is φ = 2784415618656.

The previous prime is 4873051834979. The next prime is 4873051835009. The reversal of 4873051835001 is 1005381503784.

It is a happy number.

The square root of 4873051835001 is 2207499.

It is a perfect power (a square), and thus also a powerful number.

4873051835001 is a `hidden beast` number, since 4 + 87 + 3 + 0 + 518 + 3 + 50 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1652548815225 + 3220503019776 = 1285515^2 + 1794576^2 .

It is not a de Polignac number, because 4873051835001 - 217 = 4873051703929 is a prime.

It is a super-2 number, since 2×48730518350012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4873051835009) 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 44 ways as a sum of consecutive naturals, for example, 324494845 + ... + 324509861.

Almost surely, 24873051835001 is an apocalyptic number.

4873051835001 is the 2207499-th square number.

4873051835001 is the 1103750-th centered octagonal number.

It is an amenable number.

4873051835001 is a deficient number, since it is larger than the sum of its proper divisors (3339001168790).

4873051835001 is an frugal number, since it uses more digits than its factorization.

4873051835001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30068 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 4873051835001 in words is "four trillion, eight hundred seventy-three billion, fifty-one million, eight hundred thirty-five thousand, one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 15017 21609 45051 105119 135153 315357 735833 946071 2207499 5150831 6622497 15452493 36055817 46357479 108167451 225510289 324502353 676530867 1578572023 2029592601 4735716069 11050004161 14207148207 33150012483 77350029127 99450037449 232050087381 541450203889 696150262143 1624350611667 4873051835001