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2672476416 = 28343592
BaseRepresentation
bin1001111101001010…
…1100000100000000
320220020201212110000
42133102230010000
520433123221131
61121104240000
7123140450301
oct23722540400
96806655400
102672476416
1111515a80a5
12627010000
1333789a9bc
141b4d0a7a8
15109949ce6
hex9f4ac100

2672476416 has 135 divisors (see below), whose sum is σ = 7991100271. Its totient is φ = 888344064.

The previous prime is 2672476409. The next prime is 2672476439. The reversal of 2672476416 is 6146742762.

The square root of 2672476416 is 51696.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7444045 + ... + 7444403.

Almost surely, 22672476416 is an apocalyptic number.

2672476416 is the 51696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672476416

2672476416 is an abundant number, since it is smaller than the sum of its proper divisors (5318623855).

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

2672476416 is an frugal number, since it uses more digits than its factorization.

2672476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 364 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The cubic root of 2672476416 is about 1387.7288820370.

The spelling of 2672476416 in words is "two billion, six hundred seventy-two million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 359 384 432 576 648 718 768 864 1077 1152 1296 1436 1728 2154 2304 2592 2872 3231 3456 4308 5184 5744 6462 6912 8616 9693 10368 11488 12924 17232 19386 20736 22976 25848 29079 34464 38772 45952 51696 58158 68928 77544 91904 103392 116316 128881 137856 155088 206784 232632 257762 275712 310176 386643 413568 465264 515524 620352 773286 827136 930528 1031048 1159929 1240704 1546572 1861056 2062096 2319858 2481408 3093144 3479787 3722112 4124192 4639716 6186288 6959574 7444224 8248384 9279432 10439361 12372576 13919148 16496768 18558864 20878722 24745152 27838296 32993536 37117728 41757444 49490304 55676592 74235456 83514888 98980608 111353184 148470912 167029776 222706368 296941824 334059552 445412736 668119104 890825472 1336238208 2672476416