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378632265280 = 2656773241919
BaseRepresentation
bin1011000001010000011…
…11011101111001000000
31100012022112101222102121
411200220033131321000
522200414324442110
6445535151254024
736232601103223
oct5405017357100
91305275358377
10378632265280
11136639052005
126146b21a314
13299217a1029
141447c3a75ba
159cb0a5ccda
hex58283dde40

378632265280 has 112 divisors (see below), whose sum is σ = 927614177280. Its totient is φ = 147148075008.

The previous prime is 378632265257. The next prime is 378632265287. The reversal of 378632265280 is 82562236873.

It is a super-2 number, since 2×3786322652802 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378632265287) by changing a digit.

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, 1444161 + ... + 1686079.

It is an arithmetic number, because the mean of its divisors is an integer number (8282269440).

Almost surely, 2378632265280 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 378632265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463807088640).

378632265280 is an abundant number, since it is smaller than the sum of its proper divisors (548981912000).

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

378632265280 is a wasteful number, since it uses less digits than its factorization.

378632265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242076 (or 242066 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 378632265280 in words is "three hundred seventy-eight billion, six hundred thirty-two million, two hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 73 80 134 146 160 268 292 320 335 365 536 584 670 730 1072 1168 1340 1460 2144 2336 2680 2920 4288 4672 4891 5360 5840 9782 10720 11680 19564 21440 23360 24455 39128 48910 78256 97820 156512 195640 241919 313024 391280 483838 782560 967676 1209595 1565120 1935352 2419190 3870704 4838380 7741408 9676760 15482816 16208573 17660087 19353520 32417146 35320174 38707040 64834292 70640348 77414080 81042865 88300435 129668584 141280696 162085730 176600870 259337168 282561392 324171460 353201740 518674336 565122784 648342920 706403480 1037348672 1130245568 1183225829 1296685840 1412806960 2366451658 2593371680 2825613920 4732903316 5186743360 5651227840 5916129145 9465806632 11832258290 18931613264 23664516580 37863226528 47329033160 75726453056 94658066320 189316132640 378632265280