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1906263028944 = 2432103547234961
BaseRepresentation
bin11011101111010110001…
…000010111010011010000
320202020101202012100021100
4123233112020113103100
5222213011313411234
64015420344224400
7254502655253121
oct33572610272320
96666352170240
101906263028944
1167549486906a
1226954376b100
1310a9b5475521
146839954a048
15348bda35399
hex1bbd62174d0

1906263028944 has 120 divisors (see below), whose sum is σ = 5396554584512. Its totient is φ = 628098831360.

The previous prime is 1906263028927. The next prime is 1906263028949. The reversal of 1906263028944 is 4498203626091.

1906263028944 is a `hidden beast` number, since 1 + 9 + 0 + 626 + 3 + 0 + 2 + 8 + 9 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906263028949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7995624 + ... + 8230584.

Almost surely, 21906263028944 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 1906263028944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698277292256).

1906263028944 is an abundant number, since it is smaller than the sum of its proper divisors (3490291555568).

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

1906263028944 is a wasteful number, since it uses less digits than its factorization.

1906263028944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235625 (or 235616 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1906263028944 in words is "one trillion, nine hundred six billion, two hundred sixty-three million, twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 547 618 824 927 1094 1236 1641 1648 1854 2188 2472 3282 3708 4376 4923 4944 6564 7416 8752 9846 13128 14832 19692 26256 39384 56341 78768 112682 169023 225364 234961 338046 450728 469922 507069 676092 704883 901456 939844 1014138 1352184 1409766 1879688 2028276 2114649 2704368 2819532 3759376 4056552 4229298 5639064 8113104 8458596 11278128 16917192 24200983 33834384 48401966 72602949 96803932 128523667 145205898 193607864 217808847 257047334 290411796 385571001 387215728 435617694 514094668 580823592 771142002 871235388 1028189336 1156713003 1161647184 1542284004 1742470776 2056378672 2313426006 3084568008 3484941552 4626852012 6169136016 9253704024 13237937701 18507408048 26475875402 39713813103 52951750804 79427626206 105903501608 119141439309 158855252412 211807003216 238282878618 317710504824 476565757236 635421009648 953131514472 1906263028944