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21433352328 = 23371073
BaseRepresentation
bin10011111101100001…
…110000000010001000
32001022201122010000000
4103331201300002020
5322343414233303
613502451043000
71356065326443
oct237541600210
961281563000
1021433352328
1190a9628923
1241a1ba0460
1320376331cb
1410747da65a
158569ecda3
hex4fd870088

21433352328 has 128 divisors (see below), whose sum is σ = 60840720000. Its totient is φ = 7077680208.

The previous prime is 21433352273. The next prime is 21433352329. The reversal of 21433352328 is 82325333412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=1926.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21433352292 and 21433352301.

It is not an unprimeable number, because it can be changed into a prime (21433352329) 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, 200311651 + ... + 200311757.

It is an arithmetic number, because the mean of its divisors is an integer number (475318125).

Almost surely, 221433352328 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 21433352328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30420360000).

21433352328 is an abundant number, since it is smaller than the sum of its proper divisors (39407367672).

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

21433352328 is an frugal number, since it uses more digits than its factorization.

21433352328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 112 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 21433352328 in words is "twenty-one billion, four hundred thirty-three million, three hundred fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 729 856 963 972 1284 1458 1926 1944 2187 2568 2889 2916 3852 4374 5778 5832 7704 8667 8748 11449 11556 17334 17496 22898 23112 26001 34347 34668 45796 52002 68694 69336 78003 91592 103041 104004 137388 156006 206082 208008 234009 274776 309123 312012 412164 468018 618246 624024 824328 927369 936036 1225043 1236492 1854738 1872072 2450086 2472984 2782107 3675129 3709476 4900172 5564214 7350258 7418952 8346321 9800344 11025387 11128428 14700516 16692642 22050774 22256856 25038963 29401032 33076161 33385284 44101548 50077926 66152322 66770568 88203096 99228483 100155852 132304644 198456966 200311704 264609288 297685449 396913932 595370898 793827864 893056347 1190741796 1786112694 2381483592 2679169041 3572225388 5358338082 7144450776 10716676164 21433352328