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61701030432 = 25322017106217
BaseRepresentation
bin111001011101101010…
…110000001000100000
312220021001101002211100
4321131222300020200
52002330430433212
644202311114400
74313003051046
oct713552601040
9186231332740
1061701030432
1124192694438
12bb5b672a00
135a83ca7782
142db4766396
151911c5bbdc
hexe5dab0220

61701030432 has 72 divisors (see below), whose sum is σ = 175550949756. Its totient is φ = 20556619776.

The previous prime is 61701030343. The next prime is 61701030437. The reversal of 61701030432 is 23403010716.

61701030432 is a `hidden beast` number, since 61 + 70 + 103 + 0 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61684676496 + 16353936 = 248364^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 61701030396 and 61701030405.

It is not an unprimeable number, because it can be changed into a prime (61701030437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527788 + ... + 634004.

Almost surely, 261701030432 is an apocalyptic number.

It is an amenable number.

61701030432 is an abundant number, since it is smaller than the sum of its proper divisors (113849919324).

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

61701030432 is a wasteful number, since it uses less digits than its factorization.

61701030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108250 (or 108239 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 61701030432 in words is "sixty-one billion, seven hundred one million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2017 4034 6051 8068 12102 16136 18153 24204 32272 36306 48408 64544 72612 96816 106217 145224 193632 212434 290448 318651 424868 580896 637302 849736 955953 1274604 1699472 1911906 2549208 3398944 3823812 5098416 7647624 10196832 15295248 30590496 214239689 428479378 642719067 856958756 1285438134 1713917512 1928157201 2570876268 3427835024 3856314402 5141752536 6855670048 7712628804 10283505072 15425257608 20567010144 30850515216 61701030432