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689502370944 = 27310732295197
BaseRepresentation
bin10100000100010011000…
…10110011110010000000
32102220201121100120212210
422002021202303302000
542244100101332234
61244430352422120
7100546340311002
oct12021142636200
92386647316783
10689502370944
11246464127602
12b1768b47940
135003464790a
142552d046372
1512e0769dbe9
hexa0898b3c80

689502370944 has 128 divisors (see below), whose sum is σ = 1849535726400. Its totient is φ = 227571830784.

The previous prime is 689502370943. The next prime is 689502370961. The reversal of 689502370944 is 449073205986.

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

It is a super-2 number, since 2×6895023709442 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (689502370943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132670554 + ... + 132675750.

Almost surely, 2689502370944 is an apocalyptic number.

689502370944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689502370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924767863200).

689502370944 is an abundant number, since it is smaller than the sum of its proper divisors (1160033355456).

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

689502370944 is a wasteful number, since it uses less digits than its factorization.

689502370944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 689502370944 in words is "six hundred eighty-nine billion, five hundred two million, three hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3229 3424 5136 5197 6458 6848 9687 10272 10394 12916 13696 15591 19374 20544 20788 25832 31182 38748 41088 41576 51664 62364 77496 83152 103328 124728 154992 166304 206656 249456 309984 332608 345503 413312 498912 556079 619968 665216 691006 997824 1036509 1112158 1239936 1382012 1668237 1995648 2073018 2224316 2764024 3336474 4146036 4448632 5528048 6672948 8292072 8897264 11056096 13345896 16584144 16781113 17794528 22112192 26691792 33168288 33562226 35589056 44224384 50343339 53383584 66336576 67124452 71178112 100686678 106767168 132673152 134248904 201373356 213534336 268497808 402746712 536995616 805493424 1073991232 1610986848 1795579091 2147982464 3221973696 3591158182 5386737273 6443947392 7182316364 10773474546 14364632728 21546949092 28729265456 43093898184 57458530912 86187796368 114917061824 172375592736 229834123648 344751185472 689502370944