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16450356340 = 225111724118251
BaseRepresentation
bin11110101001000010…
…01000010001110100
31120110110020200120001
433110201020101310
5232142242400330
611320204121044
71121440502365
oct172441102164
946413220501
1016450356340
116a81885220
123231236184
131722179182
14b20ac3b6c
156643049ca
hex3d4848474

16450356340 has 96 divisors (see below), whose sum is σ = 40070878848. Its totient is φ = 5606400000.

The previous prime is 16450356283. The next prime is 16450356347. The reversal of 16450356340 is 4365305461.

It is a super-2 number, since 2×164503563402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16450356340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16450356347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892215 + ... + 910465.

It is an arithmetic number, because the mean of its divisors is an integer number (417404988).

Almost surely, 216450356340 is an apocalyptic number.

16450356340 is a gapful number since it is divisible by the number (10) 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 16450356340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035439424).

16450356340 is an abundant number, since it is smaller than the sum of its proper divisors (23620522508).

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

16450356340 is a wasteful number, since it uses less digits than its factorization.

16450356340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18529 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 16450356340 in words is "sixteen billion, four hundred fifty million, three hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 241 340 374 482 748 935 964 1205 1870 2410 2651 3740 4097 4820 5302 8194 10604 13255 16388 18251 20485 26510 36502 40970 45067 53020 73004 81940 90134 91255 180268 182510 200761 225335 310267 365020 401522 450670 620534 803044 901340 1003805 1241068 1551335 2007610 3102670 3412937 4015220 4398491 6205340 6825874 8796982 13651748 17064685 17593964 21992455 34129370 43984910 48383401 68258740 74774347 87969820 96766802 149548694 193533604 241917005 299097388 373871735 483834010 747743470 822517817 967668020 1495486940 1645035634 3290071268 4112589085 8225178170 16450356340