Search a number
-
+
20201421154152 = 2337233992951977
BaseRepresentation
bin1001001011111100000101…
…00010000010011101101000
32122112020101202220022011010
410211332002202002131220
510121440002303413102
6110544223232303520
74153335022415310
oct445760242023550
978466352808133
1020201421154152
1164894136563a7
1223232070a1ba0
13b36ca7b7a214
144dba7ad9a440
15250742e7cd6c
hex125f82882768

20201421154152 has 128 divisors (see below), whose sum is σ = 57973017772800. Its totient is φ = 5746373419008.

The previous prime is 20201421154121. The next prime is 20201421154163. The reversal of 20201421154152 is 25145112410202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388634788 + ... + 388686764.

It is an arithmetic number, because the mean of its divisors is an integer number (452914201350).

Almost surely, 220201421154152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201421154152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986508886400).

20201421154152 is an abundant number, since it is smaller than the sum of its proper divisors (37771596618648).

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

20201421154152 is a wasteful number, since it uses less digits than its factorization.

20201421154152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62155 (or 62151 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 20201421154152 its reverse (25145112410202), we get a palindrome (45346533564354).

The spelling of 20201421154152 in words is "twenty trillion, two hundred one billion, four hundred twenty-one million, one hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 9929 13048 19572 19858 29787 39144 39716 51977 59574 69503 79432 103954 119148 139006 155931 207908 208509 238296 278012 311862 363839 415816 417018 556024 623724 727678 834036 1091517 1247448 1455356 1668072 2183034 2313457 2910712 4366068 4626914 6940371 8732136 9253828 12110641 13880742 16194199 18507656 24221282 27761484 32388398 36331923 48442564 48582597 55522968 64776796 72663846 84774487 96885128 97165194 129553592 145327692 169548974 194330388 254323461 290655384 339097948 388660776 508646922 516079633 678195896 1017293844 1032159266 1548238899 2034587688 2064318532 3096477798 3612557431 4128637064 6192955596 7225114862 10837672293 12385911192 14450229724 21675344586 28900459448 43350689172 86701378344 120246554489 240493108978 360739663467 480986217956 721479326934 841725881423 961972435912 1442958653868 1683451762846 2525177644269 2885917307736 3366903525692 5050355288538 6733807051384 10100710577076 20201421154152