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381330722784 = 253111951185089
BaseRepresentation
bin1011000110010010001…
…01010000111111100000
31100110021121000211020010
411203021011100333200
522221431131112114
6451103024444520
736356505443244
oct5431105207740
91313247024203
10381330722784
111377a3285080
1261aa2a79740
1329c6186764b
1414656918424
159dbc8dac59
hex58c9150fe0

381330722784 has 96 divisors (see below), whose sum is σ = 1092558136320. Its totient is φ = 115494912000.

The previous prime is 381330722777. The next prime is 381330722791. The reversal of 381330722784 is 487227033183.

It is an interprime number because it is at equal distance from previous prime (381330722777) and next prime (381330722791).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967712 + ... + 2152800.

It is an arithmetic number, because the mean of its divisors is an integer number (11380813920).

Almost surely, 2381330722784 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 381330722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546279068160).

381330722784 is an abundant number, since it is smaller than the sum of its proper divisors (711227413536).

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

381330722784 is a wasteful number, since it uses less digits than its factorization.

381330722784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187064 (or 187056 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 381330722784 in words is "three hundred eighty-one billion, three hundred thirty million, seven hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1951 3902 5853 7804 11706 15608 21461 23412 31216 42922 46824 62432 64383 85844 93648 128766 171688 185089 187296 257532 343376 370178 515064 555267 686752 740356 1030128 1110534 1480712 2035979 2060256 2221068 2961424 4071958 4442136 5922848 6107937 8143916 8884272 12215874 16287832 17768544 24431748 32575664 48863496 65151328 97726992 195453984 361108639 722217278 1083325917 1444434556 2166651834 2888869112 3972195029 4333303668 5777738224 7944390058 8666607336 11555476448 11916585087 15888780116 17333214672 23833170174 31777560232 34666429344 47666340348 63555120464 95332680696 127110240928 190665361392 381330722784