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397033456944 = 243174323514813
BaseRepresentation
bin1011100011100010000…
…10011100010100110000
31101221210221111100221210
411301301002130110300
523001111031110234
6502221124520120
740453600462305
oct5616102342460
91357727440853
10397033456944
11143421043723
1264b45850040
132b594b6c417
14153061c90ac
15a4db262be9
hex5c7109c530

397033456944 has 160 divisors (see below), whose sum is σ = 1111962829824. Its totient is φ = 121585766400.

The previous prime is 397033456931. The next prime is 397033456957. The reversal of 397033456944 is 449654330793.

It is an interprime number because it is at equal distance from previous prime (397033456931) and next prime (397033456957).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82489482 + ... + 82494294.

Almost surely, 2397033456944 is an apocalyptic number.

397033456944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397033456944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555981414912).

397033456944 is an abundant number, since it is smaller than the sum of its proper divisors (714929372880).

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

397033456944 is a wasteful number, since it uses less digits than its factorization.

397033456944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 57.

The spelling of 397033456944 in words is "three hundred ninety-seven billion, thirty-three million, four hundred fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 2064 2193 2351 2924 4386 4702 4813 5848 7053 8772 9404 9626 11696 14106 14439 17544 18808 19252 28212 28878 35088 37616 38504 39967 56424 57756 77008 79934 81821 101093 112848 115512 119901 159868 163642 202186 206959 231024 239802 245463 303279 319736 327284 404372 413918 479604 490926 606558 620877 639472 654568 808744 827836 959208 981852 1213116 1241754 1309136 1617488 1655672 1718581 1918416 1963704 2426232 2483508 3311344 3437162 3518303 3927408 4852464 4967016 5155743 6874324 7036606 9934032 10311486 10554909 11315363 13748648 14073212 20622972 21109818 22630726 27497296 28146424 33946089 41245944 42219636 45261452 56292848 67892178 82491888 84439272 90522904 135784356 168878544 181045808 192361171 271568712 384722342 486560609 543137424 577083513 769444684 973121218 1154167026 1459681827 1538889368 1946242436 2308334052 2919363654 3077778736 3892484872 4616668104 5838727308 7784969744 8271530353 9233336208 11677454616 16543060706 23354909232 24814591059 33086121412 49629182118 66172242824 99258364236 132344485648 198516728472 397033456944