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1072976935716 = 22347282212
BaseRepresentation
bin11111001110100100110…
…10001011101100100100
310210120112121101212110000
433213102122023230210
5120034424043420331
62140530243301300
7140343240320400
oct17472232135444
93716477355400
101072976935716
11384057564914
12153b4997a830
137a2483b05ca
1439d0a580100
151cd9d3b20e6
hexf9d268bb24

1072976935716 has 135 divisors (see below), whose sum is σ = 3263325488577. Its totient is φ = 306527548320.

The previous prime is 1072976935669. The next prime is 1072976935721. The reversal of 1072976935716 is 6175396792701.

The square root of 1072976935716 is 1035846.

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

It can be written as a sum of positive squares in only one way, i.e., 1010736665316 + 62240270400 = 1005354^2 + 249480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130512486 + ... + 130520706.

Almost surely, 21072976935716 is an apocalyptic number.

1072976935716 is the 1035846-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072976935716

1072976935716 is an abundant number, since it is smaller than the sum of its proper divisors (2190348552861).

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

1072976935716 is an frugal number, since it uses more digits than its factorization.

1072976935716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 1072976935716 in words is "one trillion, seventy-two billion, nine hundred seventy-six million, nine hundred thirty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 8221 15876 16442 24663 32884 49326 57547 73989 98652 115094 147978 172641 221967 230188 295956 345282 402829 443934 517923 665901 690564 805658 887868 1035846 1208487 1331802 1553769 1611316 2071692 2416974 2663604 3107538 3625461 4661307 4833948 6215076 7250922 9322614 10876383 14501844 18645228 21752766 32629149 43505532 65258298 67584841 130516596 135169682 202754523 270339364 405509046 473093887 608263569 811018092 946187774 1216527138 1419281661 1824790707 1892375548 2433054276 2838563322 3311657209 3649581414 4257844983 5474372121 5677126644 6623314418 7299162828 8515689966 9934971627 10948744242 12773534949 13246628836 17031379932 19869943254 21897488484 25547069898 29804914881 38320604847 39739886508 51094139796 59609829762 76641209694 89414744643 119219659524 153282419388 178829489286 268244233929 357658978572 536488467858 1072976935716