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14820729557972 = 221319107148994153
BaseRepresentation
bin1101011110101011100001…
…0100100001001111010100
31221110211220010101100101112
43113222320110201033110
53420310323231323342
651304314341514152
73056522331445502
oct327527024411724
957424803340345
1014820729557972
1147a4488507078
1217b4434412958
13836786796350
14393481949672
151aa7c401b682
hexd7ab85213d4

14820729557972 has 96 divisors (see below), whose sum is σ = 29696472892800. Its totient is φ = 6415375675392.

The previous prime is 14820729557923. The next prime is 14820729557993. The reversal of 14820729557972 is 27975592702841.

14820729557972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

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, 157364048 + ... + 157458200.

It is an arithmetic number, because the mean of its divisors is an integer number (309338259300).

Almost surely, 214820729557972 is an apocalyptic number.

It is an amenable number.

14820729557972 is an abundant number, since it is smaller than the sum of its proper divisors (14875743334828).

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

14820729557972 is a wasteful number, since it uses less digits than its factorization.

14820729557972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95785 (or 95783 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 68.

The spelling of 14820729557972 in words is "fourteen trillion, eight hundred twenty billion, seven hundred twenty-nine million, five hundred fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 19 26 38 52 76 107 214 247 428 494 988 1391 1489 2033 2782 2978 4066 5564 5956 8132 19357 26429 28291 38714 52858 56582 77428 94153 105716 113164 159323 188306 318646 367783 376612 637292 735566 1223989 1471132 1788907 2071199 2447978 3027137 3577814 4142398 4895956 6054274 7155628 8284796 10074371 12108548 20148742 23255791 39352781 40297484 46511582 78705562 93023164 130966823 140193817 157411124 191413049 261933646 280387634 382826098 523867292 560775268 765652196 1822519621 2488369637 2663682523 3645039242 4976739274 5327365046 7290078484 9953478548 10654730092 15000738419 30001476838 34627872799 60002953676 69255745598 138511491196 195009599447 285014029961 390019198894 570028059922 780038397788 1140056119844 3705182389493 7410364778986 14820729557972