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379457464754973 = 3113457929223837
BaseRepresentation
bin101011001000111010101001…
…1011001001110001100011101
31211202112210001011000120101010
41112101311103121032030131
5344214012341434124343
63423012204111405433
7142632616500246243
oct12621652331161435
91752483034016333
10379457464754973
11aa9a8009467000
1236685495223879
13133968baa47117
14699bba7012793
152dd085d2ddd33
hex1591d5364e31d

379457464754973 has 64 divisors (see below), whose sum is σ = 558320162008320. Its totient is φ = 229222962524160.

The previous prime is 379457464754957. The next prime is 379457464755007.

379457464754973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 379457464754973 - 24 = 379457464754957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379457464754933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1695128211 + ... + 1695352047.

It is an arithmetic number, because the mean of its divisors is an integer number (8723752531380).

Almost surely, 2379457464754973 is an apocalyptic number.

379457464754973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

379457464754973 is a deficient number, since it is larger than the sum of its proper divisors (178862697253347).

379457464754973 is a wasteful number, since it uses less digits than its factorization.

379457464754973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225259 (or 225237 counting only the distinct ones).

The product of its digits is 67212633600, while the sum is 84.

The spelling of 379457464754973 in words is "three hundred seventy-nine trillion, four hundred fifty-seven billion, four hundred sixty-four million, seven hundred fifty-four thousand, nine hundred seventy-three".

Divisors: 1 3 11 33 121 363 457 929 1331 1371 2787 3993 5027 10219 15081 30657 55297 112409 165891 223837 337227 424553 608267 671511 1236499 1273659 1824801 2462207 3709497 4670083 7386621 14010249 27084277 51370913 81252831 102293509 154112739 207944573 297927047 306880527 565080043 623833719 893781141 1125228599 1695240129 2287390303 3375685797 6862170909 12377514589 25161293333 37132543767 75483879999 95030669861 136152660479 276774226663 285092009583 408457981437 830322679989 1045337368471 3136012105413 11498711053181 34496133159543 126485821584991 379457464754973