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1055376901053 = 321931261127829
BaseRepresentation
bin11110101101110010101…
…11011000001110111101
310201220010000211110201100
433112321113120032331
5114242402441313203
62124500005403313
7136151136434106
oct17267127301675
93656100743640
101055376901053
11377645824322
12150657709539
13786a1cab907
143911ad093ad
151c6bd1b1ea3
hexf5b95d83bd

1055376901053 has 144 divisors (see below), whose sum is σ = 1700600678400. Its totient is φ = 628722259200.

The previous prime is 1055376901027. The next prime is 1055376901067. The reversal of 1055376901053 is 3501096735501.

1055376901053 is a `hidden beast` number, since 1 + 0 + 5 + 537 + 6 + 9 + 0 + 105 + 3 = 666.

It is not a de Polignac number, because 1055376901053 - 29 = 1055376900541 is a prime.

It is a super-2 number, since 2×10553769010532 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055376901153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1273071843 + ... + 1273072671.

Almost surely, 21055376901053 is an apocalyptic number.

It is an amenable number.

1055376901053 is a deficient number, since it is larger than the sum of its proper divisors (645223777347).

1055376901053 is a wasteful number, since it uses less digits than its factorization.

1055376901053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 1055376901053 in words is "one trillion, fifty-five billion, three hundred seventy-six million, nine hundred one thousand, fifty-three".

Divisors: 1 3 9 19 31 57 61 93 127 171 183 279 381 549 589 829 961 1143 1159 1767 1891 2413 2487 2883 3477 3937 5301 5673 7239 7461 7747 8649 10431 11811 15751 17019 18259 21717 23241 25699 35433 35929 47253 50569 54777 58621 69723 74803 77097 105283 107787 122047 141759 147193 151707 164331 175863 224409 231291 240157 315849 323361 366141 441579 455121 488281 527589 673227 720471 796669 947547 960811 1098423 1113799 1324737 1464843 1567639 2000377 2161413 2318893 2390007 2882433 3263773 3341397 4394529 4562983 4702917 6001131 6422263 6956679 7170021 7444867 8647299 9791319 10024191 13688949 14108751 15136711 18003393 19266789 20870037 22334601 29373957 29785141 41066847 45410133 48596809 57800367 62011687 67003803 89355423 101176963 122022997 136230399 141452473 145790427 186035061 199090153 268066269 303530889 366068991 424357419 437371281 558105183 597270459 910592667 923339371 1098206973 1273072257 1791811377 1922362297 2770018113 3782712907 5767086891 6171794743 8310054339 11348138721 17301260673 18515384229 34044416163 55546152687 117264100117 351792300351 1055376901053