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399725845968 = 243311038233169
BaseRepresentation
bin1011101000100011000…
…01000101110111010000
31102012202120200220100210
411310101201011313100
523022114304032333
6503344224044120
740610402426061
oct5642141056720
91365676626323
10399725845968
11144582901419
1265577463640
132b9038bc817
14154bd9da568
15a5e77e2a63
hex5d11845dd0

399725845968 has 160 divisors (see below), whose sum is σ = 1077932277760. Its totient is φ = 127496540160.

The previous prime is 399725845963. The next prime is 399725845973. The reversal of 399725845968 is 869548527993.

It is an interprime number because it is at equal distance from previous prime (399725845963) and next prime (399725845973).

It is a self number, because there is not a number n which added to its sum of digits gives 399725845968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399725845963) 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 31 ways as a sum of consecutive naturals, for example, 126134688 + ... + 126137856.

It is an arithmetic number, because the mean of its divisors is an integer number (6737076736).

Almost surely, 2399725845968 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 399725845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538966138880).

399725845968 is an abundant number, since it is smaller than the sum of its proper divisors (678206431792).

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

399725845968 is a wasteful number, since it uses less digits than its factorization.

399725845968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4131 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 75.

The spelling of 399725845968 in words is "three hundred ninety-nine billion, seven hundred twenty-five million, eight hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 103 124 186 206 248 309 372 412 496 618 744 823 824 1236 1488 1646 1648 2469 2472 3169 3193 3292 4938 4944 6338 6386 6584 9507 9579 9876 12676 12772 13168 19014 19158 19752 25352 25513 25544 38028 38316 39504 50704 51026 51088 76056 76539 76632 84769 98239 102052 152112 153078 153264 169538 196478 204104 254307 294717 306156 326407 339076 392956 408208 508614 589434 612312 652814 678152 785912 979221 1017228 1178868 1224624 1305628 1356304 1571824 1958442 2034456 2357736 2608087 2611256 2627839 3916884 4068912 4715472 5216174 5222512 5255678 7824261 7833768 7883517 10118617 10432348 10511356 15648522 15667536 15767034 20237234 20864696 21022712 30355851 31297044 31534068 40474468 41729392 42045424 60711702 62594088 63068136 80850697 80948936 121423404 125188176 126136272 161701394 161897872 242552091 242846808 268632961 323402788 485104182 485693616 537265922 646805576 805898883 970208364 1074531844 1293611152 1611797766 1940416728 2149063688 3223595532 3880833456 4298127376 6447191064 8327621791 12894382128 16655243582 24982865373 33310487164 49965730746 66620974328 99931461492 133241948656 199862922984 399725845968