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133187134427480 = 23573162712446841
BaseRepresentation
bin11110010010001000001011…
…110101100001000101011000
3122110120120021101201110002102
4132102020023311201011120
5114424114222403134410
61151133154101422532
740024311231306020
oct3622101365410530
9573516241643072
10133187134427480
113948a38a226041
1212b30685a0aa48
135941653b3b343
1424c6412600a80
15105e782a152a5
hex79220bd61158

133187134427480 has 128 divisors (see below), whose sum is σ = 353585503272960. Its totient is φ = 44184057984000.

The previous prime is 133187134427453. The next prime is 133187134427497. The reversal of 133187134427480 is 84724431781331.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53208860 + ... + 55655700.

It is an arithmetic number, because the mean of its divisors is an integer number (2762386744320).

Almost surely, 2133187134427480 is an apocalyptic number.

133187134427480 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 133187134427480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176792751636480).

133187134427480 is an abundant number, since it is smaller than the sum of its proper divisors (220398368845480).

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

133187134427480 is a wasteful number, since it uses less digits than its factorization.

133187134427480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453161 (or 2453157 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 133187134427480 in words is "one hundred thirty-three trillion, one hundred eighty-seven billion, one hundred thirty-four million, four hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 6271 8680 12542 25084 31355 43897 50168 62710 87794 125420 175588 194401 219485 250840 351176 388802 438970 777604 877940 972005 1360807 1555208 1755880 1944010 2446841 2721614 3888020 4893682 5443228 6804035 7776040 9787364 10886456 12234205 13608070 17127887 19574728 24468410 27216140 34255774 48936820 54432280 68511548 75852071 85639435 97873640 137023096 151704142 171278870 303408284 342557740 379260355 530964497 606816568 685115480 758520710 1061928994 1517041420 2123857988 2654822485 3034082840 4247715976 5309644970 10619289940 15344139911 21238579880 30688279822 61376559644 76720699555 107408979377 122753119288 153441399110 214817958754 306882798220 429635917508 475668337241 537044896885 613765596440 859271835016 951336674482 1074089793770 1902673348964 2148179587540 2378341686205 3329678360687 3805346697928 4296359175080 4756683372410 6659356721374 9513366744820 13318713442748 16648391803435 19026733489640 26637426885496 33296783606870 66593567213740 133187134427480