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60453040384 = 281141272
BaseRepresentation
bin111000010011010010…
…000011000100000000
312210001002001122022201
4320103102003010000
51442301434243014
643434410242544
74240040236102
oct702322030400
9183032048281
1060453040384
1123702190000
12b871726454
13591557ca19
142cd6b03572
15188c3e1e74
hexe13483100

60453040384 has 135 divisors (see below), whose sum is σ = 133789501335. Its totient is φ = 27262287360.

The previous prime is 60453040381. The next prime is 60453040391. The reversal of 60453040384 is 48304035406.

The square root of 60453040384 is 245872.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60453040381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 476008129 + ... + 476008255.

Almost surely, 260453040384 is an apocalyptic number.

60453040384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60453040384 is the 245872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60453040384

60453040384 is an abundant number, since it is smaller than the sum of its proper divisors (73336460951).

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

60453040384 is an frugal number, since it uses more digits than its factorization.

60453040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 60453040384 in words is "sixty billion, four hundred fifty-three million, forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 127 128 176 242 254 256 352 484 508 704 968 1016 1331 1397 1408 1936 2032 2662 2794 2816 3872 4064 5324 5588 7744 8128 10648 11176 14641 15367 15488 16129 16256 21296 22352 29282 30734 30976 32258 32512 42592 44704 58564 61468 64516 85184 89408 117128 122936 129032 169037 170368 177419 178816 234256 245872 258064 338074 340736 354838 357632 468512 491744 516128 676148 709676 937024 983488 1032256 1352296 1419352 1859407 1874048 1951609 1966976 2064512 2704592 2838704 3718814 3748096 3903218 3933952 4129024 5409184 5677408 7437628 7806436 10818368 11354816 14875256 15612872 21467699 21636736 22709632 29750512 31225744 42935398 43273472 45419264 59501024 62451488 85870796 119002048 124902976 171741592 236144689 238004096 249805952 343483184 472289378 476008192 499611904 686966368 944578756 1373932736 1889157512 2747865472 3778315024 5495730944 7556630048 15113260096 30226520192 60453040384