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493058670240 = 25351995161837
BaseRepresentation
bin1110010110011001001…
…01100011111010100000
31202010200002212121220010
413023030211203322200
531034241004421430
61014301422244520
750423311355343
oct7131445437240
91663602777803
10493058670240
11180117846734
127b684426740
1337659047766
1419c153ba45a
15cc5b557cb0
hex72cc963ea0

493058670240 has 96 divisors (see below), whose sum is σ = 1560939811200. Its totient is φ = 130821571584.

The previous prime is 493058670227. The next prime is 493058670253. The reversal of 493058670240 is 42076850394.

It is an interprime number because it is at equal distance from previous prime (493058670227) and next prime (493058670253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 493058670240.

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 15 ways as a sum of consecutive naturals, for example, 2485399 + ... + 2676438.

It is an arithmetic number, because the mean of its divisors is an integer number (16259789700).

Almost surely, 2493058670240 is an apocalyptic number.

493058670240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493058670240 is an abundant number, since it is smaller than the sum of its proper divisors (1067881140960).

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

493058670240 is a wasteful number, since it uses less digits than its factorization.

493058670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162054 (or 5162046 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 493058670240 in words is "four hundred ninety-three billion, fifty-eight million, six hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 95520 5161837 10323674 15485511 20647348 25809185 30971022 41294696 51618370 61942044 77427555 82589392 103236740 123884088 154855110 165178784 206473480 247768176 309710220 412946960 495536352 619420440 825893920 1027205563 1238840880 2054411126 2477681760 3081616689 4108822252 5136027815 6163233378 8217644504 10272055630 12326466756 15408083445 16435289008 20544111260 24652933512 30816166890 32870578016 41088222520 49305867024 61632333780 82176445040 98611734048 123264667560 164352890080 246529335120 493058670240