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382455130640 = 245116113951257
BaseRepresentation
bin1011001000011000001…
…10100010101000010000
31100120011221210122211112
411210030012202220100
522231232003140030
6451410352432452
736426410654252
oct5441406425020
91316157718745
10382455130640
1113821aa50370
1262157548728
132a0b07b2b3b
1414721dabcd2
159e36493a95
hex590c1a2a10

382455130640 has 160 divisors (see below), whose sum is σ = 993060190080. Its totient is φ = 135807897600.

The previous prime is 382455130621. The next prime is 382455130669. The reversal of 382455130640 is 46031554283.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7435892 + ... + 7487148.

It is an arithmetic number, because the mean of its divisors is an integer number (6206626188).

Almost surely, 2382455130640 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 382455130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496530095040).

382455130640 is an abundant number, since it is smaller than the sum of its proper divisors (610605059440).

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

382455130640 is a wasteful number, since it uses less digits than its factorization.

382455130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51481 (or 51475 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 382455130640 in words is "three hundred eighty-two billion, four hundred fifty-five million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 139 176 220 244 278 305 440 488 556 610 671 695 880 976 1112 1220 1342 1390 1529 2224 2440 2684 2780 3058 3355 4880 5368 5560 6116 6710 7645 8479 10736 11120 12232 13420 15290 16958 24464 26840 30580 33916 42395 51257 53680 61160 67832 84790 93269 102514 122320 135664 169580 186538 205028 256285 339160 373076 410056 466345 512570 563827 678320 746152 820112 932690 1025140 1127654 1492304 1865380 2050280 2255308 2819135 3126677 3730760 4100560 4510616 5638270 6253354 7124723 7461520 9021232 11276540 12506708 14249446 15633385 22553080 25013416 28498892 31266770 34393447 35623615 45106160 50026832 56997784 62533540 68786894 71247230 78371953 113995568 125067080 137573788 142494460 156743906 171967235 250134160 275147576 284988920 313487812 343934470 391859765 434608103 550295152 569977840 626975624 687868940 783719530 869216206 1253951248 1375737880 1567439060 1738432412 2173040515 2751475760 3134878120 3476864824 4346081030 4780689133 6269756240 6953729648 8692162060 9561378266 17384324120 19122756532 23903445665 34768648240 38245513064 47806891330 76491026128 95613782660 191227565320 382455130640