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350003489472 = 263271319253349
BaseRepresentation
bin1010001011111011101…
…01010110101011000000
31020110102100022111000200
411011331311112223000
521213301343130342
6424442301245200
734200261400440
oct5057565265300
91213370274020
10350003489472
1112548793300a
12579bb563800
132700b5209c0
1412d24100120
1591874e294c
hex517dd56ac0

350003489472 has 1008 divisors, whose sum is σ = 1331532820800. Its totient is φ = 85554413568.

The previous prime is 350003489441. The next prime is 350003489531. The reversal of 350003489472 is 274984300053.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1002875154 + ... + 1002875502.

It is an arithmetic number, because the mean of its divisors is an integer number (1320965100).

Almost surely, 2350003489472 is an apocalyptic number.

350003489472 is a gapful number since it is divisible by the number (32) 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 350003489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665766410400).

350003489472 is an abundant number, since it is smaller than the sum of its proper divisors (981529331328).

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

350003489472 is a wasteful number, since it uses less digits than its factorization.

350003489472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 350003489472 in words is "three hundred fifty billion, three million, four hundred eighty-nine thousand, four hundred seventy-two".