Search a number
-
+
61459708880 = 2451947338543
BaseRepresentation
bin111001001111010010…
…001011101111010000
312212122020021200220002
4321033102023233100
52001332141141010
644122330505132
74304012622503
oct711722135720
9185566250802
1061459708880
1124079448a39
12bab28951a8
135a45cb325b
142d906a913a
1518ea98e1a5
hexe4f48bbd0

61459708880 has 80 divisors (see below), whose sum is σ = 150463941120. Its totient is φ = 23282348544.

The previous prime is 61459708841. The next prime is 61459708901. The reversal of 61459708880 is 8880795416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×614597088802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7189889 + ... + 7198431.

It is an arithmetic number, because the mean of its divisors is an integer number (1880799264).

Almost surely, 261459708880 is an apocalyptic number.

It is an amenable number.

61459708880 is an abundant number, since it is smaller than the sum of its proper divisors (89004232240).

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

61459708880 is a wasteful number, since it uses less digits than its factorization.

61459708880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 61459708880 in words is "sixty-one billion, four hundred fifty-nine million, seven hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 4733 8543 9466 17086 18932 23665 34172 37864 42715 47330 68344 75728 85430 89927 94660 136688 162317 170860 179854 189320 324634 341720 359708 378640 449635 649268 683440 719416 811585 899270 1298536 1438832 1623170 1798540 2597072 3246340 3597080 6492680 7194160 12985360 40434019 80868038 161736076 202170095 323472152 404340190 646944304 768246361 808680380 1536492722 1617360760 3072985444 3234721520 3841231805 6145970888 7682463610 12291941776 15364927220 30729854440 61459708880