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612450238464 = 2163210192
BaseRepresentation
bin10001110100110001110…
…00010000000000000000
32011112211201011200220100
420322120320100000000
540013244230112324
61145204502042400
762151042063231
oct10723070200000
92145751150810
10612450238464
11216814213a79
129a844419400
13459a517340c
14218dd9c3088
1510de7dc74c9
hex8e98e10000

612450238464 has 153 divisors (see below), whose sum is σ = 1771025191663. Its totient is φ = 203949735936.

The previous prime is 612450238427. The next prime is 612450238469. The reversal of 612450238464 is 464832054216.

The square root of 612450238464 is 782592.

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

612450238464 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 502 + 3 + 84 + 64 = 666.

It is a super-2 number, since 2×6124502384642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (612450238469) 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 8 ways as a sum of consecutive naturals, for example, 601030147 + ... + 601031165.

Almost surely, 2612450238464 is an apocalyptic number.

612450238464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

612450238464 is the 782592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612450238464

612450238464 is an abundant number, since it is smaller than the sum of its proper divisors (1158574953199).

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

612450238464 is an frugal number, since it uses more digits than its factorization.

612450238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 612450238464 in words is "six hundred twelve billion, four hundred fifty million, two hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1019 1024 1152 1536 2038 2048 2304 3057 3072 4076 4096 4608 6114 6144 8152 8192 9171 9216 12228 12288 16304 16384 18342 18432 24456 24576 32608 32768 36684 36864 48912 49152 65216 65536 73368 73728 97824 98304 130432 146736 147456 195648 196608 260864 293472 294912 391296 521728 586944 589824 782592 1038361 1043456 1173888 1565184 2076722 2086912 2347776 3115083 3130368 4153444 4173824 4695552 6230166 6260736 8306888 8347648 9345249 9391104 12460332 12521472 16613776 16695296 18690498 18782208 24920664 25042944 33227552 33390592 37380996 37564416 49841328 50085888 66455104 66781184 74761992 75128832 99682656 100171776 132910208 149523984 150257664 199365312 200343552 265820416 299047968 300515328 398730624 531640832 598095936 601030656 797461248 1063281664 1196191872 1594922496 2126563328 2392383744 3189844992 4253126656 4784767488 6379689984 8506253312 9569534976 12759379968 17012506624 19139069952 25518759936 34025013248 38278139904 51037519872 68050026496 76556279808 102075039744 153112559616 204150079488 306225119232 612450238464