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2920737664 = 271331411381
BaseRepresentation
bin1010111000010110…
…1110101110000000
321112112212211212001
42232011232232000
521440202101124
61201453313344
7132243601105
oct25605565600
97475784761
102920737664
111269753489
12696195854
13377151b50
141d9c92aac
15121638b44
hexae16eb80

2920737664 has 128 divisors (see below), whose sum is σ = 6630946560. Its totient is φ = 1271808000.

The previous prime is 2920737643. The next prime is 2920737671. The reversal of 2920737664 is 4667370292.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114254 + ... + 2115634.

It is an arithmetic number, because the mean of its divisors is an integer number (51804270).

Almost surely, 22920737664 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 2920737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315473280).

2920737664 is an abundant number, since it is smaller than the sum of its proper divisors (3710208896).

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

2920737664 is a wasteful number, since it uses less digits than its factorization.

2920737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The square root of 2920737664 is about 54043.8494557891. The cubic root of 2920737664 is about 1429.4342496073.

The spelling of 2920737664 in words is "two billion, nine hundred twenty million, seven hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 41 52 62 64 82 104 124 128 164 208 248 328 403 416 496 533 656 806 832 992 1066 1271 1312 1381 1612 1664 1984 2132 2542 2624 2762 3224 3968 4264 5084 5248 5524 6448 8528 10168 11048 12896 16523 17056 17953 20336 22096 25792 33046 34112 35906 40672 42811 44192 51584 56621 66092 68224 71812 81344 85622 88384 113242 132184 143624 162688 171244 176768 226484 264368 287248 342488 452968 528736 556543 574496 684976 736073 905936 1057472 1113086 1148992 1369952 1472146 1755251 1811872 2114944 2226172 2297984 2739904 2944292 3510502 3623744 4452344 5479808 5888584 7021004 7247488 8904688 11777168 14042008 17809376 22818263 23554336 28084016 35618752 45636526 47108672 56168032 71237504 91273052 94217344 112336064 182546104 224672128 365092208 730184416 1460368832 2920737664