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81484536787002 = 23431167942110313
BaseRepresentation
bin10010100001110000011000…
…110111101011000000111010
3101200111211211110201112220000
4102201300120313223000322
541140020312404141002
6445145251320013430
723110030532446266
oct2241603067530072
9350454743645800
1081484536787002
1123a6644179a758
1291802ba601276
133660c6078793b
141619c3069d0a6
159648ee4c061c
hex4a1c18deb03a

81484536787002 has 160 divisors (see below), whose sum is σ = 189642692219904. Its totient is φ = 26122630636800.

The previous prime is 81484536786953. The next prime is 81484536787019. The reversal of 81484536787002 is 20078763548418.

It is a happy number.

81484536787002 is a `hidden beast` number, since 8 + 1 + 48 + 453 + 6 + 78 + 70 + 0 + 2 = 666.

It is a super-2 number, since 2×814845367870022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7901142598 + ... + 7901152910.

Almost surely, 281484536787002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81484536787002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94821346109952).

81484536787002 is an abundant number, since it is smaller than the sum of its proper divisors (108158155432902).

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

81484536787002 is a wasteful number, since it uses less digits than its factorization.

81484536787002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19946 (or 19937 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 81484536787002 in words is "eighty-one trillion, four hundred eighty-four billion, five hundred thirty-six million, seven hundred eighty-seven thousand, two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 167 186 279 334 501 558 837 1002 1503 1674 2511 3006 4509 5022 5177 9018 9421 10313 10354 13527 15531 18842 20626 27054 28263 30939 31062 46593 56526 61878 84789 92817 93186 139779 169578 185634 254367 278451 279558 292051 319703 419337 508734 556902 584102 639406 763101 835353 838674 876153 959109 1526202 1573307 1670706 1722271 1752306 1918218 2628459 2877327 3146614 3444542 4719921 5166813 5256918 5754654 7885377 8631981 9439842 10333626 14159763 15500439 15770754 17263962 23656131 25895943 28319526 31000878 42479289 46501317 47312262 48772517 51791886 53390401 84958578 93002634 97158773 97545034 106780802 127437867 139503951 146317551 160171203 194317546 254875734 279007902 291476319 292635102 320342406 438952653 480513609 582952638 874428957 877905306 961027218 1316857959 1441540827 1748857914 2623286871 2633715918 2883081654 3011921963 3950573877 4324622481 5246573742 6023843926 7869860613 7901147754 8649244962 9035765889 15739721226 16225515091 18071531778 27107297667 32451030182 48676545273 54214595334 81321893001 97353090546 146029635819 162643786002 243965679003 292059271638 438088907457 487931358006 502990967821 876177814914 1005981935642 1314266722371 1508972903463 2628533444742 3017945806926 4526918710389 9053837420778 13580756131167 27161512262334 40742268393501 81484536787002