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5583634606968 = 23311331212930013
BaseRepresentation
bin101000101000000101010…
…0011101010101101111000
3201202210100002121002002120
41101100022203222231320
51212440240424410333
615513030351401240
71114255446032055
oct121201243525570
921683302532076
105583634606968
111863008197050
1276218bb23220
133166c4352b52
1415436c34202c
159a39a96ddb3
hex5140a8eab78

5583634606968 has 128 divisors (see below), whose sum is σ = 15281784172800. Its totient is φ = 1686050150400.

The previous prime is 5583634606939. The next prime is 5583634606999. The reversal of 5583634606968 is 8696064363855.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186025530 + ... + 186055542.

It is an arithmetic number, because the mean of its divisors is an integer number (119388938850).

Almost surely, 25583634606968 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 5583634606968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640892086400).

5583634606968 is an abundant number, since it is smaller than the sum of its proper divisors (9698149565832).

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

5583634606968 is a wasteful number, since it uses less digits than its factorization.

5583634606968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32493 (or 32489 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 69.

The spelling of 5583634606968 in words is "five trillion, five hundred eighty-three billion, six hundred thirty-four million, six hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2129 2648 3641 3972 4258 6387 7282 7944 8516 10923 12774 14564 17032 21846 23419 25548 29128 30013 43692 46838 51096 60026 70257 87384 90039 93676 120052 140514 180078 187352 240104 281028 330143 360156 562056 660286 704699 720312 990429 1320572 1409398 1980858 2114097 2641144 2818796 3961716 4228194 5637592 7751689 7923432 8456388 9934303 15503378 16912776 19868606 23255067 29802909 31006756 39737212 46510134 59605818 62013512 63897677 79474424 93020268 109277333 119211636 127795354 186040536 191693031 218554666 238423272 255590708 327831999 383386062 437109332 511181416 655663998 702874447 766772124 874218664 1311327996 1405748894 1533544248 2108623341 2622655992 2811497788 4217246682 5622995576 8434493364 16868986728 21150131087 42300262174 63450393261 84600524348 126900786522 169201048696 232651441957 253801573044 465302883914 507603146088 697954325871 930605767828 1395908651742 1861211535656 2791817303484 5583634606968