Search a number
-
+
73028251512 = 23379294493
BaseRepresentation
bin100010000000011010…
…0101010111101111000
320222111110112120000000
41010000310222331320
52144030213022022
653314304513000
75163464616156
oct1040064527570
9228443476000
1073028251512
1128a755a9277
12121a101b760
136b6a941058
14376ac943d6
151d763d56ac
hex1100d2af78

73028251512 has 128 divisors (see below), whose sum is σ = 205627464000. Its totient is φ = 24311135232.

The previous prime is 73028251463. The next prime is 73028251607. The reversal of 73028251512 is 21515282037.

73028251512 is a `hidden beast` number, since 73 + 0 + 28 + 2 + 51 + 512 = 666.

It is a super-2 number, since 2×730282515122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16251538 + ... + 16256030.

Almost surely, 273028251512 is an apocalyptic number.

73028251512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73028251512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102813732000).

73028251512 is an abundant number, since it is smaller than the sum of its proper divisors (132599212488).

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

73028251512 is an equidigital number, since it uses as much as digits as its factorization.

73028251512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 73028251512 in words is "seventy-three billion, twenty-eight million, two hundred fifty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 929 972 1458 1858 1944 2187 2787 2916 3716 4374 4493 5574 5832 7432 8361 8748 8986 11148 13479 16722 17496 17972 22296 25083 26958 33444 35944 40437 50166 53916 66888 75249 80874 100332 107832 121311 150498 161748 200664 225747 242622 300996 323496 363933 451494 485244 601992 677241 727866 902988 970488 1091799 1354482 1455732 1805976 2031723 2183598 2708964 2911464 3275397 4063446 4173997 4367196 5417928 6550794 8126892 8347994 8734392 9826191 12521991 13101588 16253784 16695988 19652382 25043982 26203176 33391976 37565973 39304764 50087964 75131946 78609528 100175928 112697919 150263892 225395838 300527784 338093757 450791676 676187514 901583352 1014281271 1352375028 2028562542 2704750056 3042843813 4057125084 6085687626 8114250168 9128531439 12171375252 18257062878 24342750504 36514125756 73028251512