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72214460527000 = 23531113947229863
BaseRepresentation
bin10000011010110110111101…
…010001000111000110011000
3100110200122010220210012010011
4100122312331101013012120
533431130203343331000
6413330510513531304
721132215436366001
oct2032667521070630
9313618126705104
1072214460527000
1121011a87382070
128123790873b34
13313aa4341049c
1413b92acb0c1a8
158536e56e82ba
hex41adbd447198

72214460527000 has 128 divisors (see below), whose sum is σ = 185670041356800. Its totient is φ = 26070883824000.

The previous prime is 72214460526979. The next prime is 72214460527009. The reversal of 72214460527000 is 72506441227.

It is a super-2 number, since 2×722144605270002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72214460527009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22085932 + ... + 25143931.

It is an arithmetic number, because the mean of its divisors is an integer number (1450547198100).

Almost surely, 272214460527000 is an apocalyptic number.

It is an amenable number.

72214460527000 is an abundant number, since it is smaller than the sum of its proper divisors (113455580829800).

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

72214460527000 is a wasteful number, since it uses less digits than its factorization.

72214460527000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47230034 (or 47230020 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

Adding to 72214460527000 its reverse (72506441227), we get a palindrome (72286966968227).

The spelling of 72214460527000 in words is "seventy-two trillion, two hundred fourteen billion, four hundred sixty million, five hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 1000 1100 1112 1375 1390 1529 2200 2750 2780 3058 3475 5500 5560 6116 6950 7645 11000 12232 13900 15290 17375 27800 30580 34750 38225 61160 69500 76450 139000 152900 191125 305800 382250 764500 1529000 47229863 94459726 188919452 236149315 377838904 472298630 519528493 944597260 1039056986 1180746575 1889194520 2078113972 2361493150 2597642465 4156227944 4722986300 5195284930 5903732875 6564950957 9445972600 10390569860 11807465750 12988212325 13129901914 20781139720 23614931500 25976424650 26259803828 32824754785 47229863000 51952849300 52519607656 64941061625 65649509570 72214460527 103905698600 129882123250 131299019140 144428921054 164123773925 259764246500 262598038280 288857842108 328247547850 361072302635 519528493000 577715684216 656495095700 722144605270 820618869625 1312990191400 1444289210540 1641237739250 1805361513175 2888578421080 3282475478500 3610723026350 6564950957000 7221446052700 9026807565875 14442892105400 18053615131750 36107230263500 72214460527000