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70000052652 = 2232172274611093
BaseRepresentation
bin100000100110001010…
…1000000100110101100
320200200102110010002200
41001030111000212230
52121330003141102
652054012021500
75025444426105
oct1011425004654
9220612403080
1070000052652
1127761228692
1211696a61890
1367a74655ca
143560a2b3ac
151c4a62151c
hex104c5409ac

70000052652 has 144 divisors (see below), whose sum is σ = 188759162592. Its totient is φ = 21796669440.

The previous prime is 70000052641. The next prime is 70000052653. The reversal of 70000052652 is 25625000007.

70000052652 is a `hidden beast` number, since 7 + 0 + 0 + 0 + 0 + 0 + 5 + 2 + 652 = 666.

It is not an unprimeable number, because it can be changed into a prime (70000052653) 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 47 ways as a sum of consecutive naturals, for example, 64043418 + ... + 64044510.

It is an arithmetic number, because the mean of its divisors is an integer number (1310827518).

Almost surely, 270000052652 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 70000052652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94379581296).

70000052652 is an abundant number, since it is smaller than the sum of its proper divisors (118759109940).

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

70000052652 is a wasteful number, since it uses less digits than its factorization.

70000052652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 70000052652 its reverse (25625000007), we get a palindrome (95625052659).

The spelling of 70000052652 in words is "seventy billion, fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 227 306 454 461 612 681 908 922 1093 1362 1383 1844 2043 2186 2724 2766 3279 3859 4086 4149 4372 5532 6558 7718 7837 8172 8298 9837 11577 13116 15436 15674 16596 18581 19674 23154 23511 31348 34731 37162 39348 46308 47022 55743 69462 70533 74324 94044 104647 111486 138924 141066 167229 209294 222972 248111 282132 313941 334458 418588 496222 503873 627882 668916 744333 941823 992444 1007746 1255764 1488666 1511619 1778999 1883646 2015492 2232999 2977332 3023238 3557998 3767292 4217887 4465998 4534857 5336997 6046476 7115996 8435774 8565841 8931996 9069714 10673994 12653661 16010991 16871548 17131682 18139428 21347988 25307322 25697523 32021982 34263364 37960983 50614644 51395046 64043964 75921966 77092569 102790092 114379171 151843932 154185138 228758342 308370276 343137513 457516684 686275026 1029412539 1372550052 1944445907 2058825078 3888891814 4117650156 5833337721 7777783628 11666675442 17500013163 23333350884 35000026326 70000052652