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4274011924 = 22713191973137
BaseRepresentation
bin1111111011000000…
…0011111100010100
3102000212022022010221
43332300003330110
532223121340144
61544034524124
7210625334110
oct37660037424
912025268127
104274011924
1118a3628466
129b3436644
13531620650
142c78c0740
151a034dd84
hexfec03f14

4274011924 has 96 divisors (see below), whose sum is σ = 9742360320. Its totient is φ = 1593188352.

The previous prime is 4274011919. The next prime is 4274011927. The reversal of 4274011924 is 4291104724.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4274011924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274011927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360884 + ... + 1364020.

It is an arithmetic number, because the mean of its divisors is an integer number (101482920).

Almost surely, 24274011924 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 4274011924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871180160).

4274011924 is an abundant number, since it is smaller than the sum of its proper divisors (5468348396).

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

4274011924 is a wasteful number, since it uses less digits than its factorization.

4274011924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4274011924 is about 65375.9277104348. The cubic root of 4274011924 is about 1622.8507347870.

The spelling of 4274011924 in words is "four billion, two hundred seventy-four million, eleven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 197 247 266 364 394 494 532 788 988 1379 1729 2561 2758 3137 3458 3743 5122 5516 6274 6916 7486 10244 12548 14972 17927 21959 26201 35854 40781 43918 48659 52402 59603 71708 81562 87836 97318 104804 119206 163124 194636 238412 285467 340613 417221 570934 617989 681226 774839 834442 1141868 1235978 1362452 1549678 1668884 2471956 3099356 4325923 5423873 8033857 8651846 10847746 11741791 16067714 17303692 21695492 23483582 32135428 46967164 56236999 82192537 112473998 152643283 164385074 224947996 305286566 328770148 610573132 1068502981 2137005962 4274011924