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2148252435 = 35572291103
BaseRepresentation
bin1000000000001011…
…1011101100010011
312112201022112100000
42000002323230103
513344423034220
6553100301043
7104143562430
oct20002735423
95481275300
102148252435
11a026a593a
124bb541783
132830b39b4
1416544ab87
15c88e9390
hex800bbb13

2148252435 has 96 divisors (see below), whose sum is σ = 4436490240. Its totient is φ = 976883328.

The previous prime is 2148252427. The next prime is 2148252473. The reversal of 2148252435 is 5342528412.

2148252435 is a `hidden beast` number, since 21 + 4 + 82 + 524 + 35 = 666.

It is not a de Polignac number, because 2148252435 - 23 = 2148252427 is a prime.

It is a super-2 number, since 2×21482524352 = 9229977048966858450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2148252435.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1947094 + ... + 1948196.

It is an arithmetic number, because the mean of its divisors is an integer number (46213440).

Almost surely, 22148252435 is an apocalyptic number.

2148252435 is an abundant number, since it is smaller than the sum of its proper divisors (2288237805).

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

2148252435 is a wasteful number, since it uses less digits than its factorization.

2148252435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 2148252435 is about 46349.2441685946. The cubic root of 2148252435 is about 1290.3130932843.

The spelling of 2148252435 in words is "two billion, one hundred forty-eight million, two hundred fifty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 229 243 315 405 567 687 945 1103 1145 1215 1603 1701 2061 2835 3309 3435 4809 5515 6183 7721 8015 8505 9927 10305 14427 16545 18549 23163 24045 29781 30915 38605 43281 49635 55647 69489 72135 89343 92745 115815 129843 148905 208467 216405 252587 268029 278235 347445 389529 446715 625401 649215 757761 1042335 1262935 1340145 1768109 1876203 1947645 2273283 3127005 3788805 5304327 6819849 8840545 9381015 11366415 15912981 20459547 26521635 34099245 47738943 61378641 79564905 102297735 143216829 238694715 306893205 429650487 716084145 2148252435