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31488679540 = 22519310138053
BaseRepresentation
bin11101010100110111…
…110001111001110100
310000021111111122210101
4131110313301321310
51003442100221130
622244331403444
72163214234303
oct352467617164
9100244448711
1031488679540
11123995a1aaa
1261295b3584
132c7a922776
14174a04243a
15c446891ca
hex754df1e74

31488679540 has 48 divisors (see below), whose sum is σ = 66542727888. Its totient is φ = 12516286464.

The previous prime is 31488679531. The next prime is 31488679549. The reversal of 31488679540 is 4597688413.

It is an interprime number because it is at equal distance from previous prime (31488679531) and next prime (31488679549).

It can be written as a sum of positive squares in 8 ways, for example, as 5514844644 + 25973834896 = 74262^2 + 161164^2 .

It is a super-2 number, since 2×314886795402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31488679549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906154 + ... + 3914206.

It is an arithmetic number, because the mean of its divisors is an integer number (1386306831).

Almost surely, 231488679540 is an apocalyptic number.

It is an amenable number.

31488679540 is an abundant number, since it is smaller than the sum of its proper divisors (35054048348).

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

31488679540 is a wasteful number, since it uses less digits than its factorization.

31488679540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

It can be divided in two parts, 31488 and 679540, that added together give a triangular number (711028 = T1192).

The spelling of 31488679540 in words is "thirty-one billion, four hundred eighty-eight million, six hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1013 1930 2026 3860 4052 5065 8053 10130 16106 20260 32212 40265 80530 161060 195509 391018 782036 977545 1554229 1955090 3108458 3910180 6216916 7771145 8157689 15542290 16315378 31084580 32630756 40788445 81576890 163153780 1574433977 3148867954 6297735908 7872169885 15744339770 31488679540