Search a number
-
+
256090990080 = 2935311075651
BaseRepresentation
bin1110111010000000110…
…1100110011000000000
3220111000102101012201110
43232200031212120000
513143433243140310
6313351354403320
724334113333222
oct3564015463000
9814012335643
10256090990080
1199675762252
1241770430540
131b1c2c65433
14c575748412
1569dc926d20
hex3ba0366600

256090990080 has 160 divisors (see below), whose sum is σ = 845101052928. Its totient is φ = 66087936000.

The previous prime is 256090990039. The next prime is 256090990109. The reversal of 256090990080 is 80099090652.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 299746 + ... + 775905.

Almost surely, 2256090990080 is an apocalyptic number.

256090990080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256090990080 is an abundant number, since it is smaller than the sum of its proper divisors (589010062848).

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

256090990080 is a wasteful number, since it uses less digits than its factorization.

256090990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075708 (or 1075692 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 256090990080 in words is "two hundred fifty-six billion, ninety million, nine hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 14880 15872 19840 23808 29760 39680 47616 59520 79360 119040 238080 1075651 2151302 3226953 4302604 5378255 6453906 8605208 10756510 12907812 16134765 17210416 21513020 25815624 32269530 33345181 34420832 43026040 51631248 64539060 66690362 68841664 86052080 100035543 103262496 129078120 133380724 137683328 166725905 172104160 200071086 206524992 258156240 266761448 275366656 333451810 344208320 400142172 413049984 500177715 516312480 533522896 550733312 666903620 688416640 800284344 826099968 1000355430 1032624960 1067045792 1333807240 1376833280 1600568688 1652199936 2000710860 2065249920 2134091584 2667614480 2753666560 3201137376 4001421720 4130499840 4268183168 5335228960 6402274752 8002843440 8260999680 8536366336 10670457920 12804549504 16005686880 17072732672 21340915840 25609099008 32011373760 42681831680 51218198016 64022747520 85363663360 128045495040 256090990080