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2889500100872 = 2371137324775077
BaseRepresentation
bin101010000011000011101…
…000001000100100001000
3101020020022020012210101112
4222003003220020210020
5334320144011211442
610051230143105452
7415521335416550
oct52030350104410
911206266183345
102889500100872
11a14480528aa0
123a80078a2288
1317c62b8b4ac8
149dbd1586160
1550268803082
hex2a0c3a08908

2889500100872 has 128 divisors (see below), whose sum is σ = 6776853431040. Its totient is φ = 1122086753280.

The previous prime is 2889500100871. The next prime is 2889500100881. The reversal of 2889500100872 is 2780010059882.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2889500100872.

It is not an unprimeable number, because it can be changed into a prime (2889500100871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569132798 + ... + 569137874.

It is an arithmetic number, because the mean of its divisors is an integer number (52944167430).

Almost surely, 22889500100872 is an apocalyptic number.

2889500100872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2889500100872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388426715520).

2889500100872 is an abundant number, since it is smaller than the sum of its proper divisors (3887353330168).

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

2889500100872 is a wasteful number, since it uses less digits than its factorization.

2889500100872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 2889500100872 in words is "two trillion, eight hundred eighty-nine billion, five hundred million, one hundred thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 373 616 746 1492 2477 2611 2984 4103 4954 5077 5222 8206 9908 10154 10444 16412 17339 19816 20308 20888 27247 28721 32824 34678 35539 40616 54494 55847 57442 69356 71078 108988 111694 114884 138712 142156 190729 217976 223388 229768 284312 381458 390929 446776 762916 781858 923921 1525832 1563716 1847842 1893721 3127432 3695684 3787442 6467447 7391368 7574884 10163131 12575729 12934894 13256047 15149768 20326262 20830931 25151458 25869788 26512094 40652524 41661862 50302916 51739576 53024188 71141917 81305048 83323724 88030103 100605832 106048376 138333019 142283834 145816517 166647448 176060206 276666038 284567668 291633034 352120412 553332076 569135336 583266068 704240824 968331133 1106664152 1166532136 1936662266 3873324532 4690746917 7746649064 9381493834 18762987668 32835228419 37525975336 51598216087 65670456838 103196432174 131340913676 206392864348 262681827352 361187512609 412785728696 722375025218 1444750050436 2889500100872