Search a number
-
+
70551202248 = 233223213612
BaseRepresentation
bin100000110110100101…
…1011110100111001000
320202002211112102012200
41001231023132213020
52123442101432443
652224421040200
75045216216202
oct1015513364710
9222084472180
1070551202248
1127a1435051a
121180b556060
1368646b9127
1435b3cd9772
151c7dbdedd3
hex106d2de9c8

70551202248 has 108 divisors (see below), whose sum is σ = 199891906305. Its totient is φ = 22478058240.

The previous prime is 70551202229. The next prime is 70551202279. The reversal of 70551202248 is 84220215507.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 61771137444 + 8780064804 = 248538^2 + 93702^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=187818.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51837088 + ... + 51838448.

Almost surely, 270551202248 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 70551202248

70551202248 is an abundant number, since it is smaller than the sum of its proper divisors (129340704057).

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

70551202248 is a wasteful number, since it uses less digits than its factorization.

70551202248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 70551202248 in words is "seventy billion, five hundred fifty-one million, two hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1361 1587 1656 2116 2722 3174 4083 4232 4761 5444 6348 8166 9522 10888 12249 12696 16332 19044 24498 31303 32664 38088 48996 62606 93909 97992 125212 187818 250424 281727 375636 563454 719969 751272 1126908 1439938 1852321 2159907 2253816 2879876 3704642 4319814 5556963 5759752 6479721 7409284 8639628 11113926 12959442 14818568 16670889 17279256 22227852 25918884 33341778 42603383 44455704 51837768 66683556 85206766 127810149 133367112 170413532 255620298 340827064 383430447 511240596 766860894 979877809 1022481192 1533721788 1959755618 2939633427 3067443576 3919511236 5879266854 7839022472 8818900281 11758533708 17637800562 23517067416 35275601124 70551202248