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4767142368 = 253433173643
BaseRepresentation
bin1000111000010010…
…01101000111100000
3110022020012220221110
410130021031013200
534230342023433
62105012223320
7226064020152
oct43411150740
913266186843
104767142368
112026a2268a
12b1060ab40
135ac83ba01
143331a8ad2
151cd7ab963
hex11c24d1e0

4767142368 has 96 divisors (see below), whose sum is σ = 12848685696. Its totient is φ = 1546771968.

The previous prime is 4767142361. The next prime is 4767142379. The reversal of 4767142368 is 8632417674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767142361) by changing a digit.

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, 1306755 + ... + 1310397.

It is an arithmetic number, because the mean of its divisors is an integer number (133840476).

Almost surely, 24767142368 is an apocalyptic number.

4767142368 is a gapful number since it is divisible by the number (48) 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 4767142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424342848).

4767142368 is an abundant number, since it is smaller than the sum of its proper divisors (8081543328).

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

4767142368 is a wasteful number, since it uses less digits than its factorization.

4767142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4008 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 4767142368 is about 69044.4955662651. The cubic root of 4767142368 is about 1683.0074587779.

The spelling of 4767142368 in words is "four billion, seven hundred sixty-seven million, one hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 317 344 516 634 688 951 1032 1268 1376 1902 2064 2536 3643 3804 4128 5072 7286 7608 10144 10929 13631 14572 15216 21858 27262 29144 30432 40893 43716 54524 58288 81786 87432 109048 116576 156649 163572 174864 218096 313298 327144 349728 436192 469947 626596 654288 939894 1154831 1253192 1308576 1879788 2309662 2506384 3464493 3759576 4619324 5012768 6928986 7519152 9238648 13857972 15038304 18477296 27715944 36954592 49657733 55431888 99315466 110863776 148973199 198630932 297946398 397261864 595892796 794523728 1191785592 1589047456 2383571184 4767142368