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1357802485020 = 2232537566935963
BaseRepresentation
bin10011110000100011010…
…101011011010100011100
311210210201120220221010200
4103300203111123110130
5134221234414010040
62515433231303500
7200045416460022
oct23604325332434
94723646827120
101357802485020
11483928117773
1219b19937ab90
139b06a4b30b7
1449a0a24a712
15254bd79c630
hex13c2355b51c

1357802485020 has 144 divisors (see below), whose sum is σ = 4230846678240. Its totient is φ = 352222760448.

The previous prime is 1357802485003. The next prime is 1357802485027. The reversal of 1357802485020 is 205842087531.

1357802485020 is a `hidden beast` number, since 1 + 3 + 578 + 0 + 2 + 4 + 8 + 50 + 20 = 666.

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 (1357802485027) 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, 37737559 + ... + 37773521.

It is an arithmetic number, because the mean of its divisors is an integer number (29380879710).

Almost surely, 21357802485020 is an apocalyptic number.

1357802485020 is a gapful number since it is divisible by the number (10) 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 1357802485020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115423339120).

1357802485020 is an abundant number, since it is smaller than the sum of its proper divisors (2873044193220).

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

1357802485020 is a wasteful number, since it uses less digits than its factorization.

1357802485020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41684 (or 41679 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1357802485020 in words is "one trillion, three hundred fifty-seven billion, eight hundred two million, four hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 5669 6660 11338 17007 22676 28345 34014 35963 51021 56690 68028 71926 85035 102042 107889 113380 143852 170070 179815 204084 209753 215778 255105 323667 340140 359630 419506 431556 510210 539445 629259 647334 719260 839012 1020420 1048765 1078890 1258518 1294668 1330631 1618335 1887777 2097530 2157780 2517036 2661262 3146295 3236670 3775554 3991893 4195060 5322524 6292590 6473340 6653155 7551108 7983786 9438885 11975679 12585180 13306310 15967572 18877770 19959465 23951358 26612620 37755540 39918930 47902716 59878395 79837860 119756790 203874247 239513580 407748494 611622741 815496988 1019371235 1223245482 1834868223 2038742470 2446490964 3058113705 3669736446 4077484940 6116227410 7339472892 7543347139 9174341115 12232454820 15086694278 18348682230 22630041417 30173388556 36697364460 37716735695 45260082834 67890124251 75433471390 90520165668 113150207085 135780248502 150866942780 226300414170 271560497004 339450621255 452600828340 678901242510 1357802485020