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61298002836 = 22327521541863
BaseRepresentation
bin111001000101101001…
…010100101110010100
312212012222000011220100
4321011221110232110
52001014242042321
644054312534100
74300010266350
oct710551245624
9185188004810
1061298002836
1123aa6140884
12ba686b1330
135a1b6460c5
142d77014460
1518db69b326
hexe45a54b94

61298002836 has 144 divisors (see below), whose sum is σ = 177956932608. Its totient is φ = 17427571200.

The previous prime is 61298002789. The next prime is 61298002867. The reversal of 61298002836 is 63820089216.

61298002836 is a `hidden beast` number, since 612 + 9 + 8 + 0 + 0 + 28 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61298002791 and 61298002800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71028541 + ... + 71029403.

It is an arithmetic number, because the mean of its divisors is an integer number (1235812032).

Almost surely, 261298002836 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 61298002836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88978466304).

61298002836 is an abundant number, since it is smaller than the sum of its proper divisors (116658929772).

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

61298002836 is a wasteful number, since it uses less digits than its factorization.

61298002836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61298002836 in words is "sixty-one billion, two hundred ninety-eight million, two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 521 541 863 1042 1082 1563 1623 1726 2084 2164 2589 3126 3246 3452 3647 3787 4689 4869 5178 6041 6252 6492 7294 7574 7767 9378 9738 10356 10941 11361 12082 14588 15148 15534 18123 18756 19476 21882 22722 24164 31068 32823 34083 36246 43764 45444 54369 65646 68166 72492 108738 131292 136332 217476 281861 449623 466883 563722 845583 899246 933766 1127444 1348869 1400649 1691166 1798492 1867532 1973027 2536749 2697738 2801298 3147361 3268181 3382332 3946054 4046607 4201947 5073498 5395476 5602596 5919081 6294722 6536362 7892108 8093214 8403894 9442083 9804543 10146996 11838162 12589444 13072724 16186428 16807788 17757243 18884166 19609086 23676324 28326249 29413629 35514486 37768332 39218172 56652498 58827258 71028972 113304996 117654516 243246043 486492086 729738129 972984172 1459476258 1702722301 2189214387 2918952516 3405444602 4378428774 5108166903 6810889204 8756857548 10216333806 15324500709 20432667612 30649001418 61298002836