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483142678164 = 2232533073472377
BaseRepresentation
bin1110000011111011000…
…11000011011010010100
31201012002001012000222100
413001331203003122110
530403434011200124
61005541440202100
746622504001426
oct7017543033224
91635061160870
10483142678164
111769994a0063
1279777609330
1336738891a23
1419554484816
15c87ac411c9
hex707d8c3694

483142678164 has 144 divisors (see below), whose sum is σ = 1252497774528. Its totient is φ = 156974298624.

The previous prime is 483142678159. The next prime is 483142678181. The reversal of 483142678164 is 461876241384.

483142678164 is a `hidden beast` number, since 4 + 8 + 314 + 267 + 8 + 1 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 483142678164.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 203256144 + ... + 203258520.

It is an arithmetic number, because the mean of its divisors is an integer number (8697901212).

Almost surely, 2483142678164 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 483142678164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626248887264).

483142678164 is an abundant number, since it is smaller than the sum of its proper divisors (769355096364).

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

483142678164 is a wasteful number, since it uses less digits than its factorization.

483142678164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3089 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 483142678164 in words is "four hundred eighty-three billion, one hundred forty-two million, six hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 307 318 347 477 614 636 694 921 954 1041 1228 1388 1842 1908 2082 2377 2763 3123 3684 4164 4754 5526 6246 7131 9508 11052 12492 14262 16271 18391 21393 28524 32542 36782 42786 48813 55173 65084 73564 85572 97626 106529 110346 125981 146439 165519 195252 213058 220692 251962 292878 319587 331038 377943 426116 503924 585756 639174 662076 729739 755886 824819 958761 1133829 1278348 1459478 1511772 1649638 1917522 2189217 2267658 2474457 2918956 3299276 3835044 4378434 4535316 4948914 5646037 6567651 7423371 8756868 9897828 11292074 13135302 14846742 16938111 22584148 26270604 29693484 33876222 38676167 43715407 50814333 67752444 77352334 87430814 101628666 116028501 131146221 154704668 174861628 203257332 232057002 253219433 262292442 348085503 393438663 464114004 506438866 524584884 696171006 759658299 786877326 1012877732 1392342012 1519316598 1573754652 2278974897 3038633196 4557949794 9115899588 13420629949 26841259898 40261889847 53682519796 80523779694 120785669541 161047559388 241571339082 483142678164