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61468231934452 = 22723783229445943
BaseRepresentation
bin11011111100111101100000…
…01000010010000111110100
322001122022020202210201100111
431332132300020102013310
531024043414333400302
6334422041012152404
715642635042444200
oct1576366010220764
9261568222721314
1061468231934452
11186495924a9672
126a88b56608704
13283b577511275
141127114bd5b00
15718de2ec70d7
hex37e7b02121f4

61468231934452 has 144 divisors (see below), whose sum is σ = 130630304568960. Its totient is φ = 25212090855168.

The previous prime is 61468231934429. The next prime is 61468231934507. The reversal of 61468231934452 is 25443913286416.

61468231934452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137615793 + ... + 138061735.

It is an arithmetic number, because the mean of its divisors is an integer number (907154892840).

Almost surely, 261468231934452 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 61468231934452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65315152284480).

61468231934452 is an abundant number, since it is smaller than the sum of its proper divisors (69162072634508).

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

61468231934452 is a wasteful number, since it uses less digits than its factorization.

61468231934452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446310 (or 446301 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 61468231934452 in words is "sixty-one trillion, four hundred sixty-eight billion, two hundred thirty-one million, nine hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 49 74 83 98 148 166 196 229 259 332 458 518 581 916 1036 1162 1603 1813 2324 3071 3206 3626 4067 6142 6412 7252 8134 8473 11221 12284 16268 16946 19007 21497 22442 33892 38014 42994 44884 59311 76028 85988 118622 133049 150479 237244 266098 300958 415177 445943 532196 601916 703259 830354 891886 931343 1406518 1660708 1783772 1862686 2813036 3121601 3725372 4922813 6243202 9845626 12486404 16499891 19691252 21851207 32999782 34459691 37013269 43702414 65999564 68919382 74026538 87404828 102120947 115499237 137838764 148053076 204241894 230998474 259092883 408483788 461996948 518185766 714846629 808494659 1036371532 1369490953 1429693258 1616989318 1813650181 2738981906 2859386516 3233978636 3627300362 3778475039 5003926403 5477963812 7254600724 7556950078 8476038601 9586436671 10007852806 15113900156 16952077202 19172873342 20015705612 26449325273 33904154404 38345746684 52898650546 59332270207 67105056697 105797301092 118664540414 134210113394 185145276911 237329080828 268420226788 313613428237 370290553822 415325891449 627226856474 740581107644 830651782898 1254453712948 1661303565796 2195293997659 4390587995318 8781175990636 15367057983613 30734115967226 61468231934452