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368040616706680 = 235314119973362449
BaseRepresentation
bin101001110101110110010001…
…0001110001100001001111000
31210021010100011101012222201021
41103223230202032030021320
5341214434140334103210
63342431305235432224
7140344025402106361
oct12353544216141170
91707110141188637
10368040616706680
11a72a6170371745
12353408a1a55674
1312a491096249b8
1466c5391c70b68
152c838ab07bbda
hex14ebb2238c278

368040616706680 has 128 divisors (see below), whose sum is σ = 875699149248000. Its totient is φ = 138985179955200.

The previous prime is 368040616706509. The next prime is 368040616706699. The reversal of 368040616706680 is 86607616040863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015246096 + ... + 1015608544.

It is an arithmetic number, because the mean of its divisors is an integer number (6841399603500).

Almost surely, 2368040616706680 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 368040616706680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437849574624000).

368040616706680 is an abundant number, since it is smaller than the sum of its proper divisors (507658532541320).

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

368040616706680 is a wasteful number, since it uses less digits than its factorization.

368040616706680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382505 (or 382501 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 368040616706680 in words is "three hundred sixty-eight trillion, forty billion, six hundred sixteen million, seven hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 10168 12710 19973 25420 39946 50840 79892 99865 159784 199730 362449 399460 619163 724898 798920 818893 1238326 1449796 1637786 1812245 2476652 2899592 3095815 3275572 3624490 4094465 4953304 6191630 6551144 7248980 8188930 11235919 12383260 14497960 14860409 16377860 22471838 24766520 25385683 29720818 32755720 44943676 50771366 56179595 59441636 74302045 89887352 101542732 112359190 118883272 126928415 148604090 203085464 224718380 253856830 297208180 449436760 460672679 507713660 594416360 921345358 1015427320 1842690716 2303363395 3685381432 4606726790 7239193877 9213453580 14478387754 18426907160 28956775508 36195969385 57913551016 72391938770 144783877540 224415010187 289567755080 296806948957 448830020374 593613897914 897660040748 1122075050935 1187227795828 1484034744785 1795320081496 2244150101870 2374455591656 2968069489570 4488300203740 5936138979140 8976600407480 9201015417667 11872277958280 18402030835334 36804061670668 46005077088335 73608123341336 92010154176670 184020308353340 368040616706680