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203516464074 = 2372111929181631
BaseRepresentation
bin1011110110001010000…
…1101100101111001010
3201110022102010120100120
42331202201230233022
511313300203322244
6233254424044110
720463220254600
oct2754241545712
9643272116316
10203516464074
1179346813760
1233539303636
1316264a01651
149bc9127870
155462034819
hex2f6286cbca

203516464074 has 384 divisors, whose sum is σ = 566470195200. Its totient is φ = 48009024000.

The previous prime is 203516464057. The next prime is 203516464079. The reversal of 203516464074 is 470464615302.

It is a happy number.

It is a super-2 number, since 2×2035164640742 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (203516464079) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322529739 + ... + 322530369.

It is an arithmetic number, because the mean of its divisors is an integer number (1475182800).

Almost surely, 2203516464074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203516464074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283235097600).

203516464074 is an abundant number, since it is smaller than the sum of its proper divisors (362953731126).

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

203516464074 is a wasteful number, since it uses less digits than its factorization.

203516464074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

It can be divided in two parts, 203516 and 464074, that added together give a triangular number (667590 = T1155).

The spelling of 203516464074 in words is "two hundred three billion, five hundred sixteen million, four hundred sixty-four thousand, seventy-four".