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1055060646320 = 24517267367807
BaseRepresentation
bin11110101101001101000…
…00111101100110110000
310201212021222202001210002
433112212200331212300
5114241231011140240
62124404351125132
7136140246344462
oct17264640754660
93655258661702
101055060646320
113774a325847a
121505898137a8
137865160c335
14390cad04132
151c6a0541d15
hexf5a683d9b0

1055060646320 has 120 divisors (see below), whose sum is σ = 2609709408384. Its totient is φ = 396603260928.

The previous prime is 1055060646301. The next prime is 1055060646349. The reversal of 1055060646320 is 236460605501.

It is a happy number.

It is a super-3 number, since 3×10550606463203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15525857 + ... + 15593663.

Almost surely, 21055060646320 is an apocalyptic number.

1055060646320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055060646320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304854704192).

1055060646320 is an abundant number, since it is smaller than the sum of its proper divisors (1554648762064).

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

1055060646320 is a wasteful number, since it uses less digits than its factorization.

1055060646320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68527 (or 68504 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 1055060646320 in words is "one trillion, fifty-five billion, sixty million, six hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 673 680 1156 1346 1360 1445 2312 2692 2890 3365 4624 5384 5780 6730 10768 11441 11560 13460 22882 23120 26920 45764 53840 57205 67807 91528 114410 135614 183056 194497 228820 271228 339035 388994 457640 542456 678070 777988 915280 972485 1084912 1152719 1356140 1555976 1944970 2305438 2712280 3111952 3889940 4610876 5424560 5763595 7779880 9221752 11527190 15559760 18443504 19596223 23054380 39192446 45634111 46108760 78384892 91268222 92217520 97981115 156769784 182536444 195962230 228170555 313539568 365072888 391924460 456341110 730145776 775779887 783848920 912682220 1551559774 1567697840 1825364440 3103119548 3650728880 3878899435 6206239096 7757798870 12412478192 13188258079 15515597740 26376516158 31031195480 52753032316 62062390960 65941290395 105506064632 131882580790 211012129264 263765161580 527530323160 1055060646320