Search a number
-
+
2375376085152 = 253276277187711
BaseRepresentation
bin100010100100001111011…
…100101010000010100000
322102002021001011201222200
4202210033130222002200
5302404232234211102
65015122133133200
7333421014403620
oct42441734520240
98362231151880
102375376085152
11836433968534
1232444478a200
13142cc65564a5
1482d7c606880
1541bc7c4151c
hex2290f72a0a0

2375376085152 has 144 divisors (see below), whose sum is σ = 7721243292672. Its totient is φ = 678567144960.

The previous prime is 2375376085151. The next prime is 2375376085189. The reversal of 2375376085152 is 2515806735732.

2375376085152 is a `hidden beast` number, since 2 + 3 + 7 + 53 + 76 + 0 + 8 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2375376085151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12560577 + ... + 12748287.

It is an arithmetic number, because the mean of its divisors is an integer number (53619745088).

Almost surely, 22375376085152 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 2375376085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860621646336).

2375376085152 is an abundant number, since it is smaller than the sum of its proper divisors (5345867207520).

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

2375376085152 is a wasteful number, since it uses less digits than its factorization.

2375376085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194011 (or 194000 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2375376085152 in words is "two trillion, three hundred seventy-five billion, three hundred seventy-six million, eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6277 12554 18831 25108 37662 43939 50216 56493 75324 87878 100432 112986 131817 150648 175756 187711 200864 225972 263634 301296 351512 375422 395451 451944 527268 563133 602592 703024 750844 790902 903888 1054536 1126266 1313977 1406048 1501688 1581804 1689399 1807776 2109072 2252532 2627954 3003376 3163608 3378798 3941931 4218144 4505064 5255908 6006752 6327216 6757596 7883862 9010128 10511816 11825793 12654432 13515192 15767724 18020256 21023632 23651586 27030384 31535448 42047264 47303172 54060768 63070896 94606344 126141792 189212688 378425376 1178261947 2356523894 3534785841 4713047788 7069571682 8247833629 9426095576 10604357523 14139143364 16495667258 18852191152 21208715046 24743500887 28278286728 32991334516 37704382304 42417430092 49487001774 56556573456 65982669032 74230502661 84834860184 98974003548 113113146912 131965338064 148461005322 169669720368 197948007096 263930676128 296922010644 339339440736 395896014192 593844021288 791792028384 1187688042576 2375376085152