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61345331600 = 2452741534367
BaseRepresentation
bin111001001000011101…
…110111100110010000
312212100021001201202112
4321020131313212100
52001113401102400
644103123204452
74301123500160
oct711035674620
9185307051675
1061345331600
112401a927663
12ba80516728
135a283a76a7
142d7d4145a0
1518e08e9835
hexe48777990

61345331600 has 120 divisors (see below), whose sum is σ = 172545289728. Its totient is φ = 20519654400.

The previous prime is 61345331549. The next prime is 61345331651. The reversal of 61345331600 is 613354316.

61345331600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61345331549) and next prime (61345331651).

It is a super-2 number, since 2×613453316002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152384 + ... + 381983.

Almost surely, 261345331600 is an apocalyptic number.

It is an amenable number.

61345331600 is an abundant number, since it is smaller than the sum of its proper divisors (111199958128).

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

61345331600 is a wasteful number, since it uses less digits than its factorization.

61345331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534433 (or 534422 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 61345331600 its reverse (613354316), we get a palindrome (61958685916).

The spelling of 61345331600 in words is "sixty-one billion, three hundred forty-five million, three hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 1025 1148 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5740 7175 8200 11480 14350 16400 22960 28700 57400 114800 534367 1068734 2137468 2671835 3740569 4274936 5343670 7481138 8549872 10687340 13359175 14962276 18702845 21374680 21909047 26718350 29924552 37405690 42749360 43818094 53436700 59849104 74811380 87636188 93514225 106873400 109545235 149622760 153363329 175272376 187028450 213746800 219090470 299245520 306726658 350544752 374056900 438180940 547726175 613453316 748113800 766816645 876361880 1095452350 1226906632 1496227600 1533633290 1752723760 2190904700 2453813264 3067266580 3834083225 4381809400 6134533160 7668166450 8763618800 12269066320 15336332900 30672665800 61345331600