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1025330453504 = 21072151135329
BaseRepresentation
bin11101110101110100111…
…01010001110000000000
310122000120001010210021122
432322322131101300000
5113244334044003004
62103010314011412
7134035434024500
oct16727235216000
93560501123248
101025330453504
11365927346595
12146871116b68
13758c4103376
14378aa64da00
151ba10460cbe
hexeeba751c00

1025330453504 has 132 divisors (see below), whose sum is σ = 2400105698640. Its totient is φ = 436513996800.

The previous prime is 1025330453437. The next prime is 1025330453507. The reversal of 1025330453504 is 4053540335201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025330453507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7508912 + ... + 7644240.

Almost surely, 21025330453504 is an apocalyptic number.

1025330453504 is a gapful number since it is divisible by the number (14) 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 1025330453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200052849320).

1025330453504 is an abundant number, since it is smaller than the sum of its proper divisors (1374775245136).

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

1025330453504 is a wasteful number, since it uses less digits than its factorization.

1025330453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135514 (or 135489 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 1025330453504 its reverse (4053540335201), we get a palindrome (5078870788705).

The spelling of 1025330453504 in words is "one trillion, twenty-five billion, three hundred thirty million, four hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 151 196 224 256 302 392 448 512 604 784 896 1024 1057 1208 1568 1792 2114 2416 3136 3584 4228 4832 6272 7168 7399 8456 9664 12544 14798 16912 19328 25088 29596 33824 38656 50176 59192 67648 77312 118384 135296 135329 154624 236768 270592 270658 473536 541184 541316 947072 947303 1082368 1082632 1894144 1894606 2165264 3788288 3789212 4330528 6631121 7576576 7578424 8661056 13262242 15156848 17322112 20434679 26524484 30313696 34644224 40869358 53048968 60627392 69288448 81738716 106097936 121254784 138576896 143042753 163477432 212195872 242509568 286085506 326954864 424391744 485019136 572171012 653909728 848783488 970038272 1001299271 1144342024 1307819456 1697566976 2002598542 2288684048 2615638912 3395133952 4005197084 4577368096 5231277824 6790267904 8010394168 9154736192 10462555648 16020788336 18309472384 20925111296 32041576672 36618944768 64083153344 73237889536 128166306688 146475779072 256332613376 512665226752 1025330453504