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4704902144 = 21083197281
BaseRepresentation
bin1000110000110111…
…10001110000000000
3110010220002210101222
410120123301300000
534113423332034
62054510214212
7224410002605
oct43033616000
913126083358
104704902144
111aa4881688
12ab37b4368
1359c989187
14328c066ac
151c80b512e
hex1186f1c00

4704902144 has 88 divisors (see below), whose sum is σ = 9600888528. Its totient is φ = 2304081920.

The previous prime is 4704902119. The next prime is 4704902171. The reversal of 4704902144 is 4412094074.

It is a super-2 number, since 2×47049021442 = 44272208369231593472, which contains 22 as substring.

It is a congruent number.

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, 16743284 + ... + 16743564.

It is an arithmetic number, because the mean of its divisors is an integer number (109101006).

Almost surely, 24704902144 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 4704902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800444264).

4704902144 is an abundant number, since it is smaller than the sum of its proper divisors (4895986384).

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

4704902144 is a wasteful number, since it uses less digits than its factorization.

4704902144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4704902144 is about 68592.2892459495. The cubic root of 4704902144 is about 1675.6508520196.

The spelling of 4704902144 in words is "four billion, seven hundred four million, nine hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 197 256 281 332 394 512 562 664 788 1024 1124 1328 1576 2248 2656 3152 4496 5312 6304 8992 10624 12608 16351 17984 21248 23323 25216 32702 35968 42496 46646 50432 55357 65404 71936 84992 93292 100864 110714 130808 143872 186584 201728 221428 261616 287744 373168 442856 523232 746336 885712 1046464 1492672 1771424 2092928 2985344 3542848 4185856 4594631 5970688 7085696 8371712 9189262 11941376 14171392 16743424 18378524 23882752 28342784 36757048 56685568 73514096 147028192 294056384 588112768 1176225536 2352451072 4704902144