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245120413500 = 223253354115383
BaseRepresentation
bin1110010001001001010…
…0001010111100111100
3212102200212022011211100
43210102110022330330
513004001311213000
6304335021053100
723465212065024
oct3442224127474
9772625264740
10245120413500
1194a560a0736
123b60a3b7190
131a1651704c1
14bc14736a84
15659974aa00
hex391250af3c

245120413500 has 144 divisors (see below), whose sum is σ = 773541857088. Its totient is φ = 65342736000.

The previous prime is 245120413481. The next prime is 245120413513. The reversal of 245120413500 is 5314021542.

245120413500 is a `hidden beast` number, since 2 + 451 + 204 + 1 + 3 + 5 + 0 + 0 = 666.

It is a super-2 number, since 2×2451204135002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15926809 + ... + 15942191.

It is an arithmetic number, because the mean of its divisors is an integer number (5371818452).

Almost surely, 2245120413500 is an apocalyptic number.

245120413500 is a gapful number since it is divisible by the number (20) 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 245120413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386770928544).

245120413500 is an abundant number, since it is smaller than the sum of its proper divisors (528421443588).

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

245120413500 is a wasteful number, since it uses less digits than its factorization.

245120413500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949 (or 18934 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 245120413500 in words is "two hundred forty-five billion, one hundred twenty million, four hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 3541 4500 7082 10623 14164 15383 17705 21246 30766 31869 35410 42492 46149 53115 61532 63738 70820 76915 88525 92298 106230 127476 138447 153830 159345 177050 184596 212460 230745 265575 276894 307660 318690 354100 384575 442625 461490 531150 553788 637380 692235 769150 796725 885250 922980 1062300 1153725 1327875 1384470 1538300 1593450 1770500 1922875 2307450 2655750 2768940 3186900 3461175 3845750 3983625 4614900 5311500 5768625 6922350 7691500 7967250 11537250 13844700 15934500 17305875 23074500 34611750 54471203 69223500 108942406 163413609 217884812 272356015 326827218 490240827 544712030 653654436 817068045 980481654 1089424060 1361780075 1634136090 1960963308 2451204135 2723560150 3268272180 4085340225 4902408270 5447120300 6808900375 8170680450 9804816540 12256020675 13617800750 16341360900 20426701125 24512041350 27235601500 40853402250 49024082700 61280103375 81706804500 122560206750 245120413500