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61123704400 = 24521131448121
BaseRepresentation
bin111000111011010000…
…011011011001010000
312211202211000220101201
4320323100123121100
52000140132020100
644025125040544
74262462625553
oct707320333120
9184684026351
1061123704400
1123a16812890
12ba1a256154
1359c14ba435
142d5bc0269a
1518cb21c36a
hexe3b41b650

61123704400 has 120 divisors (see below), whose sum is σ = 165367772928. Its totient is φ = 21509760000.

The previous prime is 61123704331. The next prime is 61123704443. The reversal of 61123704400 is 440732116.

It is a super-2 number, since 2×611237044002 (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87661 + ... + 360460.

Almost surely, 261123704400 is an apocalyptic number.

It is an amenable number.

61123704400 is an abundant number, since it is smaller than the sum of its proper divisors (104244068528).

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

61123704400 is a wasteful number, since it uses less digits than its factorization.

61123704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448181 (or 448170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 61123704400 in words is "sixty-one billion, one hundred twenty-three million, seven hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 12400 13640 17050 27280 34100 68200 136400 448121 896242 1792484 2240605 3584968 4481210 4929331 7169936 8962420 9858662 11203025 13891751 17924840 19717324 22406050 24646655 27783502 35849680 39434648 44812100 49293310 55567004 69458755 78869296 89624200 98586620 111134008 123233275 138917510 152809261 179248400 197173240 222268016 246466550 277835020 305618522 347293775 394346480 492933100 555670040 611237044 694587550 764046305 985866200 1111340080 1222474088 1389175100 1528092610 1971732400 2444948176 2778350200 3056185220 3820231525 5556700400 6112370440 7640463050 12224740880 15280926100 30561852200 61123704400