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4741778112 = 263474791097
BaseRepresentation
bin1000110101010000…
…11100101011000000
3110020110111021201120
410122220130223000
534202343344422
62102304432240
7225335306661
oct43250345300
913213437646
104741778112
112013679095
12b04018680
135a74caa86
1432da85368
151cb44b45c
hex11aa1cac0

4741778112 has 112 divisors (see below), whose sum is σ = 12851343360. Its totient is φ = 1542326272.

The previous prime is 4741778101. The next prime is 4741778137. The reversal of 4741778112 is 2118771474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321948 + ... + 4323044.

Almost surely, 24741778112 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 4741778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425671680).

4741778112 is an abundant number, since it is smaller than the sum of its proper divisors (8109565248).

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

4741778112 is a wasteful number, since it uses less digits than its factorization.

4741778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1628 counting only the distinct ones).

The product of its digits is 87808, while the sum is 42.

The square root of 4741778112 is about 68860.5700818691. The cubic root of 4741778112 is about 1680.0172560586.

The spelling of 4741778112 in words is "four billion, seven hundred forty-one million, seven hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 479 564 752 958 1097 1128 1437 1504 1916 2194 2256 2874 3008 3291 3832 4388 4512 5748 6582 7664 8776 9024 11496 13164 15328 17552 22513 22992 26328 30656 35104 45026 45984 51559 52656 67539 70208 90052 91968 103118 105312 135078 154677 180104 206236 210624 270156 309354 360208 412472 525463 540312 618708 720416 824944 1050926 1080624 1237416 1440832 1576389 1649888 2101852 2161248 2474832 3152778 3299776 4203704 4322496 4949664 6305556 8407408 9899328 12611112 16814816 24696761 25222224 33629632 49393522 50444448 74090283 98787044 100888896 148180566 197574088 296361132 395148176 592722264 790296352 1185444528 1580592704 2370889056 4741778112