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661929984 = 21432672
BaseRepresentation
bin100111011101000…
…100000000000000
31201010112112020100
4213131010000000
52323423224414
6145403242400
722255212012
oct4735040000
91633475210
10661929984
1130a707881
12165819400
13a71a0161
1463ca81b2
153d1a2609
hex27744000

661929984 has 135 divisors (see below), whose sum is σ = 1941149847. Its totient is φ = 217350144.

The previous prime is 661929929. The next prime is 661929991. The reversal of 661929984 is 489929166.

The square root of 661929984 is 25728.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1679616) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 661929984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9879519 + ... + 9879585.

Almost surely, 2661929984 is an apocalyptic number.

661929984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

661929984 is the 25728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661929984

661929984 is an abundant number, since it is smaller than the sum of its proper divisors (1279219863).

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

661929984 is an frugal number, since it uses more digits than its factorization.

661929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The cubic root of 661929984 is about 871.5066086320.

It can be divided in two parts, 66192 and 9984, that added together give a square (76176 = 2762).

The spelling of 661929984 in words is "six hundred sixty-one million, nine hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2048 2144 2304 2412 3072 3216 4096 4288 4489 4608 4824 6144 6432 8192 8576 8978 9216 9648 12288 12864 13467 16384 17152 17956 18432 19296 24576 25728 26934 34304 35912 36864 38592 40401 49152 51456 53868 68608 71824 73728 77184 80802 102912 107736 137216 143648 147456 154368 161604 205824 215472 274432 287296 308736 323208 411648 430944 548864 574592 617472 646416 823296 861888 1097728 1149184 1234944 1292832 1646592 1723776 2298368 2469888 2585664 3293184 3447552 4596736 4939776 5171328 6895104 9193472 9879552 10342656 13790208 18386944 20685312 27580416 36773888 41370624 55160832 73547776 82741248 110321664 165482496 220643328 330964992 661929984