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253490655420 = 2232513914816841
BaseRepresentation
bin1110110000010100111…
…0000111000010111100
3220020022012101112011100
43230011032013002330
513123122101433140
6312241344253100
724212510006502
oct3540516070274
9806265345140
10253490655420
1198560959342
1241165611190
131ab9a306082
14c3aa25a672
1568d94cc530
hex3b053870bc

253490655420 has 144 divisors (see below), whose sum is σ = 775089675360. Its totient is φ = 67056076800.

The previous prime is 253490655413. The next prime is 253490655421. The reversal of 253490655420 is 24556094352.

253490655420 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 90 + 6 + 554 + 2 + 0 = 666.

It is a super-2 number, since 2×2534906554202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253490655421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37051200 + ... + 37058040.

It is an arithmetic number, because the mean of its divisors is an integer number (5382567190).

Almost surely, 2253490655420 is an apocalyptic number.

253490655420 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 253490655420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387544837680).

253490655420 is an abundant number, since it is smaller than the sum of its proper divisors (521599019940).

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

253490655420 is a wasteful number, since it uses less digits than its factorization.

253490655420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 253490655420 in words is "two hundred fifty-three billion, four hundred ninety million, six hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1481 1668 2085 2502 2780 2962 4170 4443 5004 5924 6255 6841 7405 8340 8886 12510 13329 13682 14810 17772 20523 22215 25020 26658 27364 29620 34205 41046 44430 53316 61569 66645 68410 82092 88860 102615 123138 133290 136820 205230 205859 246276 266580 307845 410460 411718 615690 617577 823436 950899 1029295 1231380 1235154 1852731 1901798 2058590 2470308 2852697 3087885 3705462 3803596 4117180 4754495 5705394 6175770 7410924 8558091 9263655 9508990 10131521 11410788 12351540 14263485 17116182 18527310 19017980 20263042 28526970 30394563 34232364 37054620 40526084 42790455 50657605 57053940 60789126 85580910 91183689 101315210 121578252 151972815 171161820 182367378 202630420 303945630 364734756 455918445 607891260 911836890 1408281419 1823673780 2816562838 4224844257 5633125676 7041407095 8449688514 12674532771 14082814190 16899377028 21124221285 25349065542 28165628380 42248442570 50698131084 63372663855 84496885140 126745327710 253490655420