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4672621320 = 2335313893229
BaseRepresentation
bin1000101101000001…
…01000101100001000
3110001122100202102220
410112200220230020
534032142340240
62051354254040
7223535424453
oct42640505410
913048322386
104672621320
111a88633614
12aa4a27320
13596095cb3
1432480249a
151c533a5d0
hex116828b08

4672621320 has 128 divisors (see below), whose sum is σ = 14511744000. Its totient is φ = 1202365440.

The previous prime is 4672621301. The next prime is 4672621333. The reversal of 4672621320 is 231262764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445466 + ... + 1448694.

It is an arithmetic number, because the mean of its divisors is an integer number (113373000).

Almost surely, 24672621320 is an apocalyptic number.

4672621320 is a gapful number since it is divisible by the number (40) 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 4672621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255872000).

4672621320 is an abundant number, since it is smaller than the sum of its proper divisors (9839122680).

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

4672621320 is a wasteful number, since it uses less digits than its factorization.

4672621320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4672621320 is about 68356.5748117911. The cubic root of 4672621320 is about 1671.8097822034.

The spelling of 4672621320 in words is "four billion, six hundred seventy-two million, six hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 389 465 620 744 778 930 1167 1240 1556 1860 1945 2334 3112 3229 3720 3890 4668 5835 6458 7780 9336 9687 11670 12059 12916 15560 16145 19374 23340 24118 25832 32290 36177 38748 46680 48236 48435 60295 64580 72354 77496 96472 96870 100099 120590 129160 144708 180885 193740 200198 241180 289416 300297 361770 387480 400396 482360 500495 600594 723540 800792 1000990 1201188 1256081 1447080 1501485 2001980 2402376 2512162 3002970 3768243 4003960 5024324 6005940 6280405 7536486 10048648 12011880 12560810 15072972 18841215 25121620 30145944 37682430 38938511 50243240 75364860 77877022 116815533 150729720 155754044 194692555 233631066 311508088 389385110 467262132 584077665 778770220 934524264 1168155330 1557540440 2336310660 4672621320