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388055768096 = 25173177612957
BaseRepresentation
bin1011010010110011110…
…11010001110000100000
31101002122021101112002102
411221121323101300200
522324214234034341
6454134221505532
740015245414323
oct5513173216040
91332567345072
10388055768096
1113a634401167
126325b1122a8
132a793c014b9
1414ad3b407ba
15a162ee1c9b
hex5a59ed1c20

388055768096 has 96 divisors (see below), whose sum is σ = 812818005552. Its totient is φ = 181737717760.

The previous prime is 388055768077. The next prime is 388055768119. The reversal of 388055768096 is 690867550883.

It can be written as a sum of positive squares in 8 ways, for example, as 5840016400 + 382215751696 = 76420^2 + 618236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131231450 + ... + 131234406.

Almost surely, 2388055768096 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 388055768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406409002776).

388055768096 is an abundant number, since it is smaller than the sum of its proper divisors (424762237456).

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

388055768096 is a wasteful number, since it uses less digits than its factorization.

388055768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 65.

The spelling of 388055768096 in words is "three hundred eighty-eight billion, fifty-five million, seven hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 317 544 634 761 1268 1522 2536 2957 3044 5072 5389 5914 6088 10144 10778 11828 12176 12937 21556 23656 24352 25874 43112 47312 50269 51748 86224 94624 100538 103496 172448 201076 206992 241237 402152 413984 482474 804304 937369 964948 1608608 1874738 1929896 2250277 3749476 3859792 4101029 4500554 7498952 7719584 8202058 9001108 14997904 15935273 16404116 18002216 29995808 31870546 32808232 36004432 38254709 63741092 65616464 72008864 76509418 127482184 131232928 153018836 254964368 306037672 509928736 612075344 713337809 1224150688 1426675618 2853351236 5706702472 11413404944 12126742753 22826809888 24253485506 48506971012 97013942024 194027884048 388055768096