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381046217360 = 2457988368281
BaseRepresentation
bin1011000101110000001…
…11111101101010010000
31100102112202200110011012
411202320013331222100
522220340312423420
6451014502510052
736346452256334
oct5427007755220
91312482613135
10381046217360
11137667723a26
1261a23735328
1329c17933343
141462ac197c4
159da293cdc5
hex58b81fda90

381046217360 has 80 divisors (see below), whose sum is σ = 898175965440. Its totient is φ = 150316508160.

The previous prime is 381046217359. The next prime is 381046217371. The reversal of 381046217360 is 63712640183.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5546420 + ... + 5614700.

It is an arithmetic number, because the mean of its divisors is an integer number (11227199568).

Almost surely, 2381046217360 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 381046217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449087982720).

381046217360 is an abundant number, since it is smaller than the sum of its proper divisors (517129748080).

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

381046217360 is a wasteful number, since it uses less digits than its factorization.

381046217360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69256 (or 69250 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 381046217360 in words is "three hundred eighty-one billion, forty-six million, two hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 883 1264 1580 1766 3160 3532 4415 6320 7064 8830 14128 17660 35320 68281 69757 70640 136562 139514 273124 279028 341405 348785 546248 558056 682810 697570 1092496 1116112 1365620 1395140 2731240 2790280 5394199 5462480 5580560 10788398 21576796 26970995 43153592 53941990 60292123 86307184 107883980 120584246 215767960 241168492 301460615 431535920 482336984 602921230 964673968 1205842460 2411684920 4763077717 4823369840 9526155434 19052310868 23815388585 38104621736 47630777170 76209243472 95261554340 190523108680 381046217360