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61001105652 = 223219243109159
BaseRepresentation
bin111000110011111100…
…110000000011110100
312211110021100020112100
4320303330300003310
51444412240340102
644005025222100
74256443562034
oct706374600364
9184407306470
1061001105652
1123963596603
12b9a5191930
1359a1c936b6
142d4980b8c4
1518c05a1a1c
hexe33f300f4

61001105652 has 108 divisors (see below), whose sum is σ = 166526199840. Its totient is φ = 18815346144.

The previous prime is 61001105611. The next prime is 61001105677. The reversal of 61001105652 is 25650110016.

It is a happy number.

61001105652 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 1 + 1 + 0 + 5 + 652 = 666.

61001105652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610011056522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 504249 + ... + 613407.

Almost surely, 261001105652 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 61001105652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83263099920).

61001105652 is an abundant number, since it is smaller than the sum of its proper divisors (105525094188).

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

61001105652 is a wasteful number, since it uses less digits than its factorization.

61001105652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109250 (or 109226 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 61001105652 its reverse (25650110016), we get a palindrome (86651215668).

The spelling of 61001105652 in words is "sixty-one billion, one million, one hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 361 387 516 684 722 774 817 1083 1444 1548 1634 2166 2451 3249 3268 4332 4902 6498 7353 9804 12996 14706 15523 29412 31046 46569 62092 93138 109159 139707 186276 218318 279414 327477 436636 558828 654954 982431 1309908 1964862 2074021 3929724 4148042 4693837 6222063 8296084 9387674 12444126 14081511 18666189 18775348 24888252 28163022 37332378 39406399 42244533 56326044 74664756 78812798 84489066 89182903 118219197 157625596 168978132 178365806 236438394 267548709 354657591 356731612 472876788 535097418 709315182 802646127 1070194836 1418630364 1605292254 1694475157 3210584508 3388950314 5083425471 6777900628 10166850942 15250276413 20333701884 30500552826 61001105652