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1205157379056 = 243414367212557
BaseRepresentation
bin10001100010011000111…
…110100011101111110000
311021012201111020010000120
4101202120332203233300
5124221130242112211
62321350333050240
7153032631462411
oct21423076435760
94235644203016
101205157379056
11425116a16334
12175698926980
1389851c2a0a7
1442489475808
152153787cd06
hex11898fa3bf0

1205157379056 has 160 divisors (see below), whose sum is σ = 3312150175488. Its totient is φ = 377091348480.

The previous prime is 1205157379043. The next prime is 1205157379057. The reversal of 1205157379056 is 6509737515021.

It is a super-2 number, since 2×12051573790562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205157379057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5563530 + ... + 5776086.

Almost surely, 21205157379056 is an apocalyptic number.

1205157379056 is a gapful number since it is divisible by the number (16) 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 1205157379056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656075087744).

1205157379056 is an abundant number, since it is smaller than the sum of its proper divisors (2106992796432).

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

1205157379056 is a wasteful number, since it uses less digits than its factorization.

1205157379056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212719 (or 212713 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 51.

The spelling of 1205157379056 in words is "one trillion, two hundred five billion, one hundred fifty-seven million, three hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 67 82 86 123 129 134 164 172 201 246 258 268 328 344 402 492 516 536 656 688 804 984 1032 1072 1608 1763 1968 2064 2747 2881 3216 3526 5289 5494 5762 7052 8241 8643 10578 10988 11524 14104 16482 17286 21156 21976 23048 28208 32964 34572 42312 43952 46096 65928 69144 84624 118121 131856 138288 212557 236242 354363 425114 472484 637671 708726 850228 944968 1275342 1417452 1700456 1889936 2550684 2834904 3400912 5101368 5669808 8714837 9139951 10202736 14241319 17429674 18279902 26144511 27419853 28482638 34859348 36559804 42723957 52289022 54839706 56965276 69718696 73119608 85447914 104578044 109679412 113930552 139437392 146239216 170895828 209156088 219358824 227861104 341791656 374737991 418312176 438717648 583894079 612376717 683583312 749475982 1124213973 1167788158 1224753434 1498951964 1751682237 1837130151 2248427946 2335576316 2449506868 2997903928 3503364474 3674260302 4496855892 4671152632 4899013736 5995807856 7006728948 7348520604 8993711784 9342305264 9798027472 14013457896 14697041208 17987423568 25107445397 28026915792 29394082416 50214890794 75322336191 100429781588 150644672382 200859563176 301289344764 401719126352 602578689528 1205157379056