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31552051664 = 24714910911733
BaseRepresentation
bin11101011000101001…
…100001100111010000
310000102220202022000002
4131120221201213100
51004104311123124
622254513545132
72164614004550
oct353051414720
9100386668002
1031552051664
1112421346461
1261468751a8
132c8aab0573
14175461b160
15c4a0060ae
hex758a619d0

31552051664 has 80 divisors (see below), whose sum is σ = 70439241600. Its totient is φ = 13411499520.

The previous prime is 31552051633. The next prime is 31552051667. The reversal of 31552051664 is 46615025513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31552051667) 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, 18205742 + ... + 18207474.

It is an arithmetic number, because the mean of its divisors is an integer number (880490520).

Almost surely, 231552051664 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 31552051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35219620800).

31552051664 is an abundant number, since it is smaller than the sum of its proper divisors (38887189936).

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

31552051664 is a wasteful number, since it uses less digits than its factorization.

31552051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 31552051664 in words is "thirty-one billion, five hundred fifty-two million, fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1091 1192 1733 2086 2182 2384 3466 4172 4364 6932 7637 8344 8728 12131 13864 15274 16688 17456 24262 27728 30548 48524 61096 97048 122192 162559 194096 258217 325118 516434 650236 1032868 1137913 1300472 1807519 1890703 2065736 2275826 2600944 3615038 3781406 4131472 4551652 7230076 7562812 9103304 13234921 14460152 15125624 18206608 26469842 28920304 30251248 52939684 105879368 211758736 281714747 563429494 1126858988 1972003229 2253717976 3944006458 4507435952 7888012916 15776025832 31552051664