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61024861272 = 233312112411613
BaseRepresentation
bin111000110101010111…
…010111110001011000
312211111221001011010010
4320311113113301120
51444434331030042
644011234321520
74260152522304
oct706527276130
9184457034103
1061024861272
1123975a41551
12b9b11292a0
1359a6b9038b
142d4ca32d04
1518c26e559c
hexe355d7c58

61024861272 has 128 divisors (see below), whose sum is σ = 158984939520. Its totient is φ = 19498752000.

The previous prime is 61024861267. The next prime is 61024861361. The reversal of 61024861272 is 27216842016.

It is a self number, because there is not a number n which added to its sum of digits gives 61024861272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37832338 + ... + 37833950.

It is an arithmetic number, because the mean of its divisors is an integer number (1242069840).

Almost surely, 261024861272 is an apocalyptic number.

61024861272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61024861272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79492469760).

61024861272 is an abundant number, since it is smaller than the sum of its proper divisors (97960078248).

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

61024861272 is a wasteful number, since it uses less digits than its factorization.

61024861272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 61024861272 in words is "sixty-one billion, twenty-four million, eight hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 211 241 248 372 422 482 633 723 744 844 964 1266 1446 1613 1688 1928 2532 2892 3226 4839 5064 5784 6452 6541 7471 9678 12904 13082 14942 19356 19623 22413 26164 29884 38712 39246 44826 50003 50851 52328 59768 78492 89652 100006 101702 150009 152553 156984 179304 200012 203404 300018 305106 340343 388733 400024 406808 600036 610212 680686 777466 1021029 1166199 1200072 1220424 1361372 1554932 1576381 2042058 2332398 2722744 3109864 3152762 4084116 4664796 4729143 6305524 8168232 9329592 9458286 10550633 12050723 12611048 18916572 21101266 24101446 31651899 36152169 37833144 42202532 48202892 63303798 72304338 82022663 84405064 96405784 126607596 144608676 164045326 246067989 253215192 289217352 328090652 492135978 656181304 984271956 1968543912 2542702553 5085405106 7628107659 10170810212 15256215318 20341620424 30512430636 61024861272