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203376137664 = 26372344914653
BaseRepresentation
bin1011110101101000101…
…0011001010111000000
3201102221122002020201010
42331122022121113000
511313003242401124
6233232452240520
720456564434650
oct2753212312700
9642848066633
10203376137664
1179284589417
12334ba310140
131624190b87b
149bb463a360
155454a66529
hex2f5a2995c0

203376137664 has 224 divisors, whose sum is σ = 643181644800. Its totient is φ = 55453483008.

The previous prime is 203376137599. The next prime is 203376137707. The reversal of 203376137664 is 466731673302.

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

It is a super-2 number, since 2×2033761376642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 13872162 + ... + 13886814.

Almost surely, 2203376137664 is an apocalyptic number.

203376137664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203376137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321590822400).

203376137664 is an abundant number, since it is smaller than the sum of its proper divisors (439805507136).

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

203376137664 is a wasteful number, since it uses less digits than its factorization.

203376137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147 (or 15137 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 203376137664 in words is "two hundred three billion, three hundred seventy-six million, one hundred thirty-seven thousand, six hundred sixty-four".