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683757221664 = 253112767234007
BaseRepresentation
bin10011111001100110001…
…10110011011100100000
32102100220012211202200010
421330303012303130200
542200313322043124
61242040322124520
7100254066326436
oct11746306633440
92370805752603
10683757221664
11243a86142950
12b0624ab0740
134c62a2cc3ba
1425146016d56
1512bbd107529
hex9f331b3720

683757221664 has 96 divisors (see below), whose sum is σ = 1958748051456. Its totient is φ = 207123390720.

The previous prime is 683757221657. The next prime is 683757221681. The reversal of 683757221664 is 466122757386.

It is a happy number.

683757221664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2804949 + ... + 3038955.

It is an arithmetic number, because the mean of its divisors is an integer number (20403625536).

Almost surely, 2683757221664 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 683757221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979374025728).

683757221664 is an abundant number, since it is smaller than the sum of its proper divisors (1274990829792).

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

683757221664 is a wasteful number, since it uses less digits than its factorization.

683757221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236798 (or 236790 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

It can be divided in two parts, 68375722 and 1664, that added together give a palindrome (68377386).

The spelling of 683757221664 in words is "six hundred eighty-three billion, seven hundred fifty-seven million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2767 5534 8301 11068 16602 22136 30437 33204 44272 60874 66408 88544 91311 121748 132816 182622 234007 243496 265632 365244 468014 486992 702021 730488 936028 973984 1404042 1460976 1872056 2574077 2808084 2921952 3744112 5148154 5616168 7488224 7722231 10296308 11232336 15444462 20592616 22464672 30888924 41185232 61777848 82370464 123555696 247111392 647497369 1294994738 1942492107 2589989476 3884984214 5179978952 7122471059 7769968428 10359957904 14244942118 15539936856 20719915808 21367413177 28489884236 31079873712 42734826354 56979768472 62159747424 85469652708 113959536944 170939305416 227919073888 341878610832 683757221664