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380146464700 = 225216330775967
BaseRepresentation
bin1011000100000100111…
…11101011011110111100
31100100020001122021112121
411202002133223132330
522212014443332300
6450345322012324
736315245430622
oct5420237533674
91310201567477
10380146464700
11137245850492
12618123470a4
1329b033c5412
1414583525512
159d4d95e81a
hex58827eb7bc

380146464700 has 72 divisors (see below), whose sum is σ = 832693148672. Its totient is φ = 150631462080.

The previous prime is 380146464679. The next prime is 380146464727. The reversal of 380146464700 is 7464641083.

It is a super-2 number, since 2×3801464647002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966117 + ... + 5042083.

Almost surely, 2380146464700 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 380146464700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416346574336).

380146464700 is an abundant number, since it is smaller than the sum of its proper divisors (452546683972).

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

380146464700 is a wasteful number, since it uses less digits than its factorization.

380146464700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76451 (or 76444 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 380146464700 in words is "three hundred eighty billion, one hundred forty-six million, four hundred sixty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 307 326 614 652 815 1228 1535 1630 3070 3260 4075 6140 7675 8150 15350 16300 30700 50041 75967 100082 151934 200164 250205 303868 379835 500410 759670 1000820 1251025 1519340 1899175 2502050 3798350 5004100 7596700 12382621 23321869 24765242 46643738 49530484 61913105 93287476 116609345 123826210 233218690 247652420 309565525 466437380 583046725 619131050 1166093450 1238262100 2332186900 3801464647 7602929294 15205858588 19007323235 38014646470 76029292940 95036616175 190073232350 380146464700