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536630414000 = 24531914121853
BaseRepresentation
bin1111100111100011010…
…10100100101010110000
31220022010200210112201112
413303301222210222300
532243004341222000
61050305152052452
753525126154302
oct7636152445260
91808120715645
10536630414000
1119764697371a
1288004534128
133b7b1095a65
141bd8a09d972
15de5b8be235
hex7cf1aa4ab0

536630414000 has 80 divisors (see below), whose sum is σ = 1365865718880. Its totient is φ = 203354668800.

The previous prime is 536630413993. The next prime is 536630414009. The reversal of 536630414000 is 414036635.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5366304140002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (536630414009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7022927 + ... + 7098926.

It is an arithmetic number, because the mean of its divisors is an integer number (17073321486).

Almost surely, 2536630414000 is an apocalyptic number.

536630414000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536630414000 is an abundant number, since it is smaller than the sum of its proper divisors (829235304880).

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

536630414000 is a wasteful number, since it uses less digits than its factorization.

536630414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121895 (or 14121879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 536630414000 in words is "five hundred thirty-six billion, six hundred thirty million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 14121853 28243706 56487412 70609265 112974824 141218530 225949648 268315207 282437060 353046325 536630414 564874120 706092650 1073260828 1129748240 1341576035 1412185300 1765231625 2146521656 2683152070 2824370600 3530463250 4293043312 5366304140 5648741200 6707880175 7060926500 10732608280 13415760350 14121853000 21465216560 26831520700 28243706000 33539400875 53663041400 67078801750 107326082800 134157603500 268315207000 536630414000