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31055476056 = 233116710191723
BaseRepresentation
bin11100111011000011…
…001111010101011000
32222011022100122022220
4130323003033111120
51002100200213211
622133334344040
72146404122343
oct347303172530
988138318286
1031055476056
11121970088a0
1260284bb020
132c0bc57047
1417086b745a
15c1b617806
hex73b0cf558

31055476056 has 128 divisors (see below), whose sum is σ = 86095180800. Its totient is φ = 9255818880.

The previous prime is 31055476043. The next prime is 31055476057. The reversal of 31055476056 is 65067455013.

It is a junction number, because it is equal to n+sod(n) for n = 31055475999 and 31055476017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31055476057) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18023211 + ... + 18024933.

It is an arithmetic number, because the mean of its divisors is an integer number (672618600).

Almost surely, 231055476056 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 31055476056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43047590400).

31055476056 is an abundant number, since it is smaller than the sum of its proper divisors (55039704744).

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

31055476056 is a wasteful number, since it uses less digits than its factorization.

31055476056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 31055476056 in words is "thirty-one billion, fifty-five million, four hundred seventy-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1019 1474 1608 1723 2038 2211 2948 3057 3446 4076 4422 5169 5896 6114 6892 8152 8844 10338 11209 12228 13784 17688 18953 20676 22418 24456 33627 37906 41352 44836 56859 67254 68273 75812 89672 113718 115441 134508 136546 151624 204819 227436 230882 269016 273092 346323 409638 454872 461764 546184 692646 751003 819276 923528 1269851 1385292 1502006 1638552 1755737 2253009 2539702 2770584 3004012 3511474 3809553 4506018 5079404 5267211 6008024 7022948 7619106 9012036 10158808 10534422 14045896 15238212 18024072 19313107 21068844 30476424 38626214 42137688 57939321 77252428 115878642 117634379 154504856 231757284 235268758 352903137 463514568 470537516 705806274 941075032 1293978169 1411612548 2587956338 2823225096 3881934507 5175912676 7763869014 10351825352 15527738028 31055476056