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61073405200 = 24525313121991
BaseRepresentation
bin111000111000010000…
…100011010100010000
312211122022101102212101
4320320100203110100
52000034242431300
644020131010144
74261312243633
oct707020432420
9184568342771
1061073405200
11239a03882a5
12ba05439954
1359b3c58ab2
142d5526bc1a
1518c6ad3b6a
hexe38423510

61073405200 has 120 divisors (see below), whose sum is σ = 150645375936. Its totient is φ = 23784384000.

The previous prime is 61073405177. The next prime is 61073405219. The reversal of 61073405200 is 250437016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2766205 + ... + 2788195.

Almost surely, 261073405200 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 61073405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75322687968).

61073405200 is an abundant number, since it is smaller than the sum of its proper divisors (89571970736).

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

61073405200 is a wasteful number, since it uses less digits than its factorization.

61073405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22193 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 61073405200 in words is "sixty-one billion, seventy-three million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 131 200 212 262 265 400 424 524 530 655 848 1048 1060 1310 1325 2096 2120 2620 2650 3275 4240 5240 5300 6550 6943 10480 10600 13100 13886 21200 21991 26200 27772 34715 43982 52400 55544 69430 87964 109955 111088 138860 173575 175928 219910 277720 347150 351856 439820 549775 555440 694300 879640 1099550 1165523 1388600 1759280 2199100 2331046 2777200 2880821 4398200 4662092 5761642 5827615 8796400 9324184 11523284 11655230 14404105 18648368 23046568 23310460 28808210 29138075 46093136 46620920 57616420 58276150 72020525 93241840 115232840 116552300 144041050 152683513 230465680 233104600 288082100 305367026 466209200 576164200 610734052 763417565 1152328400 1221468104 1526835130 2442936208 3053670260 3817087825 6107340520 7634175650 12214681040 15268351300 30536702600 61073405200