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378343089216 = 263485432
BaseRepresentation
bin1011000000101110000…
…00010110010001000000
31100011120101021022110000
411200113000112101000
522144321312323331
6445450341240000
736222460124301
oct5402700262100
91304511238400
10378343089216
111364aa8a0824
12613aa403000
13298a68c2b31
1414451c107a8
159c9548b0e6
hex5817016440

378343089216 has 105 divisors (see below), whose sum is σ = 1121658736231. Its totient is φ = 126099600768.

The previous prime is 378343089077. The next prime is 378343089227. The reversal of 378343089216 is 612980343873.

The square root of 378343089216 is 615096.

It is a perfect power (a square), and thus also a powerful number.

378343089216 is a `hidden beast` number, since 3 + 7 + 8 + 343 + 0 + 89 + 216 = 666.

It is a super-2 number, since 2×3783430892162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44282641 + ... + 44291183.

Almost surely, 2378343089216 is an apocalyptic number.

378343089216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

378343089216 is the 615096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378343089216

378343089216 is an abundant number, since it is smaller than the sum of its proper divisors (743315647015).

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

378343089216 is an frugal number, since it uses more digits than its factorization.

378343089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17110 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 378343089216 in words is "three hundred seventy-eight billion, three hundred forty-three million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8543 17086 25629 34172 51258 68344 76887 102516 136688 153774 205032 230661 273376 307548 410064 461322 546752 615096 691983 820128 922644 1230192 1383966 1640256 1845288 2460384 2767932 3690576 4920768 5535864 7381152 11071728 14762304 22143456 44286912 72982849 145965698 218948547 291931396 437897094 583862792 656845641 875794188 1167725584 1313691282 1751588376 1970536923 2335451168 2627382564 3503176752 3941073846 4670902336 5254765128 5911610769 7006353504 7882147692 10509530256 11823221538 14012707008 15764295384 21019060512 23646443076 31528590768 42038121024 47292886152 63057181536 94585772304 126114363072 189171544608 378343089216