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42881110701504 = 263509719361001
BaseRepresentation
bin10011100000000000010010…
…10111101111010111000000
312121211101122100000011021220
421300000021113233113000
521110031003314422004
6231111151005315040
712014025616662165
oct1160001127572700
9177741570004256
1042881110701504
11127328600a0159
124986791265a80
131ac0896069c1a
14a8365779206c
154e5681c56dd9
hex2700095ef5c0

42881110701504 has 112 divisors (see below), whose sum is σ = 113696840363040. Its totient is φ = 14263404544000.

The previous prime is 42881110701467. The next prime is 42881110701589. The reversal of 42881110701504 is 40510701118824.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 702927004 + ... + 702988004.

Almost surely, 242881110701504 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 42881110701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56848420181520).

42881110701504 is an abundant number, since it is smaller than the sum of its proper divisors (70815729661536).

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

42881110701504 is a wasteful number, since it uses less digits than its factorization.

42881110701504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68718 (or 68708 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 42881110701504 in words is "forty-two trillion, eight hundred eighty-one billion, one hundred ten million, seven hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 509 1018 1527 2036 3054 4072 6108 7193 8144 12216 14386 16288 21579 24432 28772 32576 43158 48864 57544 61001 86316 97728 115088 122002 172632 183003 230176 244004 345264 366006 460352 488008 690528 732012 976016 1381056 1464024 1952032 2928048 3661237 3904064 5856096 7322474 10983711 11712192 14644948 21967422 29289896 31049509 43934844 58579792 62099018 87869688 93148527 117159584 124198036 175739376 186297054 234319168 248396072 351478752 372594108 438780193 496792144 702957504 745188216 877560386 993584288 1316340579 1490376432 1755120772 1987168576 2632681158 2980752864 3510241544 5265362316 5961505728 7020483088 10530724632 14040966176 21061449264 28081932352 42122898528 84245797056 223339118237 446678236474 670017354711 893356472948 1340034709422 1786712945896 2680069418844 3573425891792 5360138837688 7146851783584 10720277675376 14293703567168 21440555350752 42881110701504