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1029888047556 = 223279221412
BaseRepresentation
bin11101111110010100001…
…11000111100111000100
310122110022200001112222100
432333022013013213010
5113333202320010211
62105042443032100
7134256404651634
oct16771207074704
93573280045870
101029888047556
11367855a54445
1214772350b630
137616c3c3994
1437bbda6c6c4
151bbca629156
hexefca1c79c4

1029888047556 has 81 divisors (see below), whose sum is σ = 2637930875853. Its totient is φ = 338792182560.

The previous prime is 1029888047533. The next prime is 1029888047567. The reversal of 1029888047556 is 6557408889201.

The square root of 1029888047556 is 1014834.

It is a perfect power (a square), and thus also a powerful number.

1029888047556 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 88 + 80 + 475 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 982346605956 + 47541441600 = 991134^2 + 218040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1029888047493 and 1029888047502.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 481030246 + ... + 481032386.

Almost surely, 21029888047556 is an apocalyptic number.

1029888047556 is the 1014834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029888047556

1029888047556 is an abundant number, since it is smaller than the sum of its proper divisors (1608042828297).

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

1029888047556 is an frugal number, since it uses more digits than its factorization.

1029888047556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 1029888047556 in words is "one trillion, twenty-nine billion, eight hundred eighty-eight million, forty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2141 2844 4282 6241 6423 8564 12482 12846 18723 19269 24964 25692 37446 38538 56169 74892 77076 112338 169139 224676 338278 507417 676556 1014834 1522251 2029668 3044502 4583881 6089004 9167762 13361981 13751643 18335524 26723962 27503286 40085943 41254929 53447924 55006572 80171886 82509858 120257829 160343772 165019716 240515658 362126599 481031316 724253198 1086379797 1448506396 2172759594 3259139391 4345519188 6518278782 13036557564 28608001321 57216002642 85824003963 114432005284 171648007926 257472011889 343296015852 514944023778 1029888047556