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6900536736 = 2532191996337
BaseRepresentation
bin1100110110100110…
…11101010110100000
3122210220120120211200
412123103131112200
5103113014133421
63100422241200
7333000410622
oct63323352640
918726516750
106900536736
112a2119a425
121406b86200
1385c81c842
14496668c12
152a5c1d726
hex19b4dd5a0

6900536736 has 144 divisors (see below), whose sum is σ = 20763288000. Its totient is φ = 2167824384.

The previous prime is 6900536719. The next prime is 6900536737. The reversal of 6900536736 is 6376350096.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6900536691 and 6900536700.

It is not an unprimeable number, because it can be changed into a prime (6900536737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085760 + ... + 1092096.

It is an arithmetic number, because the mean of its divisors is an integer number (144189500).

Almost surely, 26900536736 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 6900536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381644000).

6900536736 is an abundant number, since it is smaller than the sum of its proper divisors (13862751264).

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

6900536736 is a wasteful number, since it uses less digits than its factorization.

6900536736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 6900536736 is about 83069.4693374166. The cubic root of 6900536736 is about 1903.8276242742.

The spelling of 6900536736 in words is "six billion, nine hundred million, five hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 199 228 288 304 342 398 456 597 608 684 796 912 1194 1368 1592 1791 1824 2388 2736 3184 3582 3781 4776 5472 6337 6368 7164 7562 9552 11343 12674 14328 15124 19011 19104 22686 25348 28656 30248 34029 38022 45372 50696 57033 57312 60496 68058 76044 90744 101392 114066 120403 120992 136116 152088 181488 202784 228132 240806 272232 304176 361209 362976 456264 481612 544464 608352 722418 912528 963224 1083627 1088928 1261063 1444836 1825056 1926448 2167254 2522126 2889672 3783189 3852896 4334508 5044252 5779344 7566378 8669016 10088504 11349567 11558688 15132756 17338032 20177008 22699134 23960197 30265512 34676064 40354016 45398268 47920394 60531024 71880591 90796536 95840788 121062048 143761182 181593072 191681576 215641773 287522364 363186144 383363152 431283546 575044728 766726304 862567092 1150089456 1725134184 2300178912 3450268368 6900536736