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190644896947584 = 2738344913322003
BaseRepresentation
bin101011010110001111111001…
…010111000101110110000000
3221000000110210122210002221210
4223112033321113011312000
5144442011222104310314
61513245020120050120
755104432161356152
oct5326177127056600
9830013718702853
10190644896947584
1155822057252092
1219470312303940
13824b976530041
143511395860ad2
1517091a084d559
hexad63f95c5d80

190644896947584 has 128 divisors (see below), whose sum is σ = 513643186224000. Its totient is φ = 62642824380416.

The previous prime is 190644896947529. The next prime is 190644896947621. The reversal of 190644896947584 is 485749698446091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 190644896947497 and 190644896947506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7649527 + ... + 20971529.

It is an arithmetic number, because the mean of its divisors is an integer number (4012837392375).

Almost surely, 2190644896947584 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 190644896947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256821593112000).

190644896947584 is an abundant number, since it is smaller than the sum of its proper divisors (322998289276416).

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

190644896947584 is a wasteful number, since it uses less digits than its factorization.

190644896947584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322552 (or 13322540 counting only the distinct ones).

The product of its (nonzero) digits is 15049359360, while the sum is 84.

The spelling of 190644896947584 in words is "one hundred ninety trillion, six hundred forty-four billion, eight hundred ninety-six million, nine hundred forty-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 449 498 664 898 996 1328 1347 1796 1992 2656 2694 3592 3984 5312 5388 7184 7968 10624 10776 14368 15936 21552 28736 31872 37267 43104 57472 74534 86208 111801 149068 172416 223602 298136 447204 596272 894408 1192544 1788816 2385088 3577632 4770176 7155264 13322003 14310528 26644006 39966009 53288012 79932018 106576024 159864036 213152048 319728072 426304096 639456144 852608192 1105726249 1278912288 1705216384 2211452498 2557824576 3317178747 4422904996 5115649152 5981579347 6634357494 8845809992 11963158694 13268714988 17691619984 17944738041 23926317388 26537429976 35383239968 35889476082 47852634776 53074859952 70766479936 71778952164 95705269552 106149719904 141532959872 143557904328 191410539104 212299439808 287115808656 382821078208 424598879616 496471085801 574231617312 765642156416 992942171602 1148463234624 1489413257403 1985884343204 2296926469248 2978826514806 3971768686408 5957653029612 7943537372816 11915306059224 15887074745632 23830612118448 31774149491264 47661224236896 63548298982528 95322448473792 190644896947584