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1054264425084 = 2232132448138671
BaseRepresentation
bin11110101011101110000…
…11100111101001111100
310201210020111111211120200
433111313003213221330
5114233113143100314
62124153345243500
7136111440516663
oct17256703475174
93653214454520
101054264425084
113771248686a2
121503a7033590
1378555680400
143905327ddda
151c6556b4709
hexf5770e7a7c

1054264425084 has 108 divisors (see below), whose sum is σ = 2886429585312. Its totient is φ = 324308275200.

The previous prime is 1054264424999. The next prime is 1054264425121. The reversal of 1054264425084 is 4805244624501.

1054264425084 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 64 + 42 + 508 + 4 = 666.

It is a super-2 number, since 2×10542644250842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27243069 + ... + 27281739.

It is an arithmetic number, because the mean of its divisors is an integer number (26726199864).

Almost surely, 21054264425084 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 1054264425084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443214792656).

1054264425084 is an abundant number, since it is smaller than the sum of its proper divisors (1832165160228).

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

1054264425084 is a wasteful number, since it uses less digits than its factorization.

1054264425084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43188 (or 43170 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 1054264425084 in words is "one trillion, fifty-four billion, two hundred sixty-four million, four hundred twenty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4481 6084 8962 13443 17924 26886 38671 40329 53772 58253 77342 80658 116013 116506 154684 161316 174759 232026 233012 348039 349518 464052 502723 524277 696078 699036 757289 1005446 1048554 1392156 1508169 1514578 2010892 2097108 2271867 3016338 3029156 4524507 4543734 6032676 6535399 6815601 9049014 9087468 13070798 13631202 18098028 19606197 26141596 27262404 39212394 58818591 78424788 117637182 173284751 235274364 346569502 519854253 693139004 1039708506 1559562759 2079417012 2252701763 3119125518 4505403526 6238251036 6758105289 9010807052 13516210578 20274315867 27032421156 29285122919 40548631734 58570245838 81097263468 87855368757 117140491676 175710737514 263566106271 351421475028 527132212542 1054264425084