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683439503616 = 283457412
BaseRepresentation
bin10011111001000000010…
…10110011100100000000
32102100002002000000110000
421330200022303210000
542144141003103431
61241545012240000
7100243160633652
oct11744012634400
92370062000400
10683439503616
11243932867651
12b0556610000
134c5a9539a5c
1425115b506d2
1512ba02989e6
hex9f202b3900

683439503616 has 135 divisors (see below), whose sum is σ = 2038247970913. Its totient is φ = 227773486080.

The previous prime is 683439503609. The next prime is 683439503633. The reversal of 683439503616 is 616305934386.

The square root of 683439503616 is 826704.

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

683439503616 is a `hidden beast` number, since 6 + 83 + 43 + 9 + 503 + 6 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341635574016 + 341803929600 = 584496^2 + 584640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 119042506 + ... + 119048246.

Almost surely, 2683439503616 is an apocalyptic number.

683439503616 is the 826704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683439503616

683439503616 is an abundant number, since it is smaller than the sum of its proper divisors (1354808467297).

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

683439503616 is an frugal number, since it uses more digits than its factorization.

683439503616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 683439503616 in words is "six hundred eighty-three billion, four hundred thirty-nine million, five hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5741 6912 10368 11482 17223 20736 22964 34446 45928 51669 68892 91856 103338 137784 155007 183712 206676 275568 310014 367424 413352 465021 551136 620028 734848 826704 930042 1102272 1240056 1469696 1653408 1860084 2204544 2480112 3306816 3720168 4409088 4960224 6613632 7440336 9920448 13227264 14880672 19840896 29761344 32959081 39681792 59522688 65918162 98877243 119045376 131836324 197754486 263672648 296631729 395508972 527345296 593263458 791017944 889895187 1054690592 1186526916 1582035888 1779790374 2109381184 2373053832 2669685561 3164071776 3559580748 4218762368 4746107664 5339371122 6328143552 7119161496 8437524736 9492215328 10678742244 12656287104 14238322992 18984430656 21357484488 25312574208 28476645984 37968861312 42714968976 56953291968 75937722624 85429937952 113906583936 170859875904 227813167872 341719751808 683439503616