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672722043357376 = 265310916311162609
BaseRepresentation
bin1001100011110101100100111…
…0011011010100100011000000
310021012220121011212022202211101
42120331121032123110203000
51201133334221044414001
610342432123524024144
7261461364234553645
oct23075311633244300
93235817155282741
10672722043357376
111853938a8714171
126354a057232054
1322b4a55503764c
14bc19cc62b3dcc
1552b909e08da01
hex263d64e6d48c0

672722043357376 has 112 divisors (see below), whose sum is σ = 1381019356015200. Its totient is φ = 324980846641152.

The previous prime is 672722043357349. The next prime is 672722043357401. The reversal of 672722043357376 is 673753340227276.

It is a super-3 number, since 3×6727220433573763 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54684360 + ... + 65846968.

Almost surely, 2672722043357376 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 672722043357376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690509678007600).

672722043357376 is an abundant number, since it is smaller than the sum of its proper divisors (708297312657824).

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

672722043357376 is a wasteful number, since it uses less digits than its factorization.

672722043357376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162946 (or 11162936 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 64.

The spelling of 672722043357376 in words is "six hundred seventy-two trillion, seven hundred twenty-two billion, forty-three million, three hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 109 163 212 218 326 424 436 652 848 872 1304 1696 1744 2608 3392 3488 5216 5777 6976 8639 10432 11554 17278 17767 23108 34556 35534 46216 69112 71068 92432 138224 142136 184864 276448 284272 369728 552896 568544 941651 1137088 1883302 3766604 7533208 11162609 15066416 22325218 30132832 44650436 60265664 89300872 178601744 357203488 591618277 714406976 1183236554 1216724381 1819505267 2366473108 2433448762 3639010534 4732946216 4866897524 7278021068 9465892432 9733795048 14556042136 18931784864 19467590096 29112084272 37863569728 38935180192 58224168544 64486392193 77870360384 96433779151 116448337088 128972784386 192867558302 198326074103 257945568772 385735116604 396652148206 515891137544 771470233208 793304296412 1031782275088 1542940466416 1586608592824 2063564550176 3085880932832 3173217185648 4127129100352 6171761865664 6346434371296 10511281927459 12692868742592 21022563854918 42045127709836 84090255419672 168180510839344 336361021678688 672722043357376