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6136037152 = 257223295867
BaseRepresentation
bin1011011011011110…
…00111111100100000
3120211122000222120021
411231233013330200
5100031311142102
62452512323224
7305025312100
oct55557077440
916748028507
106136037152
1126696a6593
121232b43514
1376a31941b
14422d01200
1525da5a137
hex16dbc7f20

6136037152 has 144 divisors (see below), whose sum is σ = 15171831360. Its totient is φ = 2428242432.

The previous prime is 6136037071. The next prime is 6136037207. The reversal of 6136037152 is 2517306316.

It is a super-2 number, since 2×61360371522 = 75301903861448542208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042923 + ... + 1048789.

It is an arithmetic number, because the mean of its divisors is an integer number (105359940).

Almost surely, 26136037152 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 6136037152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585915680).

6136037152 is an abundant number, since it is smaller than the sum of its proper divisors (9035794208).

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

6136037152 is a wasteful number, since it uses less digits than its factorization.

6136037152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 6136037152 is about 78332.8612524782. The cubic root of 6136037152 is about 1830.7511972671.

The spelling of 6136037152 in words is "six billion, one hundred thirty-six million, thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 49 56 58 92 98 112 116 161 184 196 203 224 232 322 368 392 406 464 644 667 736 784 812 928 1127 1288 1334 1421 1568 1624 2254 2576 2668 2842 3248 4508 4669 5152 5336 5684 5867 6496 9016 9338 10672 11368 11734 18032 18676 21344 22736 23468 32683 36064 37352 41069 45472 46936 65366 74704 82138 93872 130732 134941 149408 164276 170143 187744 261464 269882 287483 328552 340286 522928 539764 574966 657104 680572 944587 1045856 1079528 1149932 1191001 1314208 1361144 1889174 2159056 2299864 2382002 2722288 3778348 3913289 4318112 4599728 4764004 5444576 6612109 7556696 7826578 8337007 9199456 9528008 13224218 15113392 15653156 16674014 19056016 26448436 27393023 30226784 31306312 33348028 38112032 52896872 54786046 62612624 66696056 105793744 109572092 125225248 133392112 191751161 211587488 219144184 266784224 383502322 438288368 767004644 876576736 1534009288 3068018576 6136037152