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428980646322 = 23617210092
BaseRepresentation
bin1100011111000010011…
…11010011000110110010
31112000021101202202000000
412033201033103012302
524012023021140242
6525023200010430
742664353221154
oct6174117230662
91460241682000
10428980646322
11155a25433978
126b180900a16
13315b677b087
1416a970a2ad4
15b25acbba4c
hex63e13d31b2

428980646322 has 126 divisors (see below), whose sum is σ = 1025871012423. Its totient is φ = 134448781824.

The previous prime is 428980646321. The next prime is 428980646329. The reversal of 428980646322 is 223646089824.

428980646322 is a `hidden beast` number, since 4 + 2 + 89 + 80 + 6 + 463 + 22 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 255933798201 + 173046848121 = 505899^2 + 415989^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=463131.

It is a super-3 number, since 3×4289806463223 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (428980646321) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 425153754 + ... + 425154762.

Almost surely, 2428980646322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428980646322

428980646322 is an abundant number, since it is smaller than the sum of its proper divisors (596890366101).

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

428980646322 is an frugal number, since it uses more digits than its factorization.

428980646322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 428980646322 in words is "four hundred twenty-eight billion, nine hundred eighty million, six hundred forty-six thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 289 306 459 486 578 729 867 918 1009 1377 1458 1734 2018 2601 2754 3027 4131 5202 6054 7803 8262 9081 12393 15606 17153 18162 23409 24786 27243 34306 46818 51459 54486 70227 81729 102918 140454 154377 163458 210681 245187 291601 308754 421362 463131 490374 583202 735561 874803 926262 1018081 1389393 1471122 1749606 2036162 2624409 2778786 3054243 4168179 5248818 6108486 7873227 8336358 9162729 12504537 15746454 17307377 18325458 23619681 25009074 27488187 34614754 47239362 51922131 54976374 70859043 82464561 103844262 141718086 155766393 164929122 212577129 247393683 294225409 311532786 425154258 467299179 494787366 588450818 742181049 882676227 934598358 1401897537 1484362098 1765352454 2648028681 2803795074 4205692611 5296057362 7944086043 8411385222 12617077833 15888172086 23832258129 25234155666 47664516258 71496774387 142993548774 214490323161 428980646322