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23162463744 = 29376533299
BaseRepresentation
bin10101100100100101…
…110010011000000000
32012210020021001221120
4111210211302120000
5334414042314434
614350215552240
71446662456550
oct254445623000
965706231846
1023162463744
119906674922
1245a508b680
132251933164
14119a2dd160
15908702349
hex564972600

23162463744 has 160 divisors (see below), whose sum is σ = 70650835200. Its totient is φ = 6605709312.

The previous prime is 23162463733. The next prime is 23162463769. The reversal of 23162463744 is 44736426132.

It is a super-2 number, since 2×231624637442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23162463696 and 23162463705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7019407 + ... + 7022705.

It is an arithmetic number, because the mean of its divisors is an integer number (441567720).

Almost surely, 223162463744 is an apocalyptic number.

23162463744 is a gapful number since it is divisible by the number (24) 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 23162463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35325417600).

23162463744 is an abundant number, since it is smaller than the sum of its proper divisors (47488371456).

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

23162463744 is an equidigital number, since it uses as much as digits as its factorization.

23162463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3964 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

Adding to 23162463744 its reverse (44736426132), we get a palindrome (67898889876).

The spelling of 23162463744 in words is "twenty-three billion, one hundred sixty-two million, four hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 653 672 768 896 1306 1344 1536 1792 1959 2612 2688 3299 3584 3918 4571 5224 5376 6598 7836 9142 9897 10448 10752 13196 13713 15672 18284 19794 20896 23093 26392 27426 31344 36568 39588 41792 46186 52784 54852 62688 69279 73136 79176 83584 92372 105568 109704 125376 138558 146272 158352 167168 184744 211136 219408 250752 277116 292544 316704 334336 369488 422272 438816 501504 554232 585088 633408 738976 844544 877632 1003008 1108464 1170176 1266816 1477952 1689088 1755264 2154247 2216928 2340352 2533632 2955904 3510528 4308494 4433856 5067264 5911808 6462741 7021056 8616988 8867712 11823616 12925482 15079729 17233976 17735424 25850964 30159458 34467952 35470848 45239187 51701928 60318916 68935904 90478374 103403856 120637832 137871808 180956748 206807712 241275664 275743616 361913496 413615424 482551328 551487232 723826992 827230848 965102656 1102974464 1447653984 1654461696 1930205312 2895307968 3308923392 3860410624 5790615936 7720821248 11581231872 23162463744