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76380301312 = 211725720731
BaseRepresentation
bin100011100100010011…
…1101110100000000000
321022011002000022212121
41013020213232200000
52222411324120222
655031050534024
75342526564130
oct1071047564000
9238132008777
1076380301312
112a435763967
1212977737314
137283248783
1439a813cac0
151ec081a5c7
hex11c89ee800

76380301312 has 96 divisors (see below), whose sum is σ = 175228522560. Its totient is φ = 32605470720.

The previous prime is 76380301267. The next prime is 76380301331. The reversal of 76380301312 is 21310308367.

It is a super-3 number, since 3×763803013123 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3673987 + ... + 3694717.

It is an arithmetic number, because the mean of its divisors is an integer number (1825297110).

Almost surely, 276380301312 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 76380301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87614261280).

76380301312 is an abundant number, since it is smaller than the sum of its proper divisors (98848221248).

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

76380301312 is a wasteful number, since it uses less digits than its factorization.

76380301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21017 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 76380301312 its reverse (21310308367), we get a palindrome (97690609679).

The spelling of 76380301312 in words is "seventy-six billion, three hundred eighty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 257 448 512 514 896 1024 1028 1792 1799 2048 2056 3584 3598 4112 7168 7196 8224 14336 14392 16448 20731 28784 32896 41462 57568 65792 82924 115136 131584 145117 165848 230272 263168 290234 331696 460544 526336 580468 663392 921088 1160936 1326784 1842176 2321872 2653568 3684352 4643744 5307136 5327867 9287488 10614272 10655734 18574976 21228544 21311468 37149952 37295069 42457088 42622936 74299904 74590138 85245872 148599808 149180276 170491744 297199616 298360552 340983488 596721104 681966976 1193442208 1363933952 2386884416 2727867904 4773768832 5455735808 9547537664 10911471616 19095075328 38190150656 76380301312