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45621616513000 = 2353112377038153
BaseRepresentation
bin10100101111110000111000…
…01111110000111111101000
312222112101100220011211102111
422113320130033300333220
521434431032311404000
6241010140432012104
712416024121014533
oct1227703417607750
9188471326154374
1045621616513000
111359a023194300
125149937091034
131c5c13b85bb08
14b3a152d7da1a
15541ac9dd8cba
hex297e1c3f0fe8

45621616513000 has 96 divisors (see below), whose sum is σ = 117341814287880. Its totient is φ = 16589678688000.

The previous prime is 45621616512959. The next prime is 45621616513051. The reversal of 45621616513000 is 31561612654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13803736454244 + 31817880058756 = 3715338^2 + 5640734^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188398077 + ... + 188640076.

Almost surely, 245621616513000 is an apocalyptic number.

45621616513000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45621616513000 is an abundant number, since it is smaller than the sum of its proper divisors (71720197774880).

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

45621616513000 is a wasteful number, since it uses less digits than its factorization.

45621616513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377038196 (or 377038171 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 45621616513000 in words is "forty-five trillion, six hundred twenty-one billion, six hundred sixteen million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 377038153 754076306 1508152612 1885190765 3016305224 3770381530 4147419683 7540763060 8294839366 9425953825 15081526120 16589678732 18851907650 20737098415 33179357464 37703815300 41474196830 45621616513 47129769125 75407630600 82948393660 91243233026 94259538250 103685492075 165896787320 182486466052 188519076500 207370984150 228108082565 364972932104 377038153000 414741968300 456216165130 518427460375 829483936600 912432330260 1036854920750 1140540412825 1824864660520 2073709841500 2281080825650 4147419683000 4562161651300 5702702064125 9124323302600 11405404128250 22810808256500 45621616513000