Search a number
-
+
55533731274560 = 2657114153542693
BaseRepresentation
bin11001010000001111101000…
…10100110101111101000000
321021121222021012211101121202
430220013310110311331000
524234331040201241220
6314035502143240332
714461115426233160
oct1450076424657500
9237558235741552
1055533731274560
11167707a55a7960
12628a9862a90a8
1324caa68050b66
14d9dbbddc05a0
1566485e481275
hex3281f4535f40

55533731274560 has 224 divisors, whose sum is σ = 164910275281152. Its totient is φ = 17305015173120.

The previous prime is 55533731274557. The next prime is 55533731274631. The reversal of 55533731274560 is 6547213733555.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 55533731274496 and 55533731274505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102058574 + ... + 102601266.

Almost surely, 255533731274560 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 55533731274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82455137640576).

55533731274560 is an abundant number, since it is smaller than the sum of its proper divisors (109376544006592).

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

55533731274560 is a wasteful number, since it uses less digits than its factorization.

55533731274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546881 (or 546871 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 56.

The spelling of 55533731274560 in words is "fifty-five trillion, five hundred thirty-three billion, seven hundred thirty-one million, two hundred seventy-four thousand, five hundred sixty".