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6061448924001 = 321924729192
BaseRepresentation
bin101100000110100101010…
…0000101000101101100001
3210110110122210112022201100
41120031022200220231201
51243302321411032001
620520331410425013
71163632232515122
oct130151240505541
923413583468640
106061448924001
111a27711994569
1281a8bab92169
1334c791038163
1416d538c8c049
15a7a139e6586
hex5834a828b61

6061448924001 has 81 divisors (see below), whose sum is σ = 9451565306001. Its totient is φ = 3742753616208.

The previous prime is 6061448923991. The next prime is 6061448924023. The reversal of 6061448924001 is 1004298441606.

The square root of 6061448924001 is 2462001.

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

6061448924001 is a `hidden beast` number, since 6 + 0 + 614 + 4 + 8 + 9 + 24 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 6061448924001 - 211 = 6061448921953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6061448924051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6595700220 + ... + 6595701138.

Almost surely, 26061448924001 is an apocalyptic number.

6061448924001 is the 2462001-st square number.

6061448924001 is the 1231001-st centered octagonal number.

It is an amenable number.

6061448924001 is a deficient number, since it is larger than the sum of its proper divisors (3390116382000).

6061448924001 is an frugal number, since it uses more digits than its factorization.

6061448924001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 6061448 and 924001, that added together give a square (6985449 = 26432).

The spelling of 6061448924001 in words is "six trillion, sixty-one billion, four hundred forty-eight million, nine hundred twenty-four thousand, one".

Divisors: 1 3 9 19 47 57 141 171 361 423 893 919 1083 2209 2679 2757 3249 6627 8037 8271 16967 17461 19881 41971 43193 50901 52383 125913 129579 152703 157149 331759 377739 388737 797449 820667 844561 995277 2030071 2392347 2462001 2533683 2985831 6090213 7177041 7386003 7601049 15592673 16046659 18270639 38571349 39694367 46778019 48139977 115714047 119083101 140334057 144419931 304886521 347142141 357249303 732855631 754192973 914659563 1865635249 2198566893 2262578919 2743978689 5596905747 6595700679 6787736757 14329666487 16790717241 35447069731 42988999461 106341209193 128966998383 319023627579 673494324889 2020482974667 6061448924001