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55929816933376 = 210103222692
BaseRepresentation
bin11001011011110001011001…
…10111101110010000000000
321100000211122002212121222011
430231320230313232100000
524312323231113332001
6314541445253422304
714531540000622601
oct1455705467562000
9240024562777864
1055929816933376
111690377a631841
1263336a663a994
13252920b72c789
14db5036369da8
1566ece23c4d51
hex32de2cdee400

55929816933376 has 99 divisors (see below), whose sum is σ = 112950819171441. Its totient is φ = 27681199386624.

The previous prime is 55929816933251. The next prime is 55929816933401. The reversal of 55929816933376 is 67333961892955.

The square root of 55929816933376 is 7478624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2389571838976 + 53540245094400 = 1545824^2 + 7317120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24649543570 + ... + 24649545838.

Almost surely, 255929816933376 is an apocalyptic number.

55929816933376 is the 7478624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55929816933376

55929816933376 is an abundant number, since it is smaller than the sum of its proper divisors (57021002238065).

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

55929816933376 is an frugal number, since it uses more digits than its factorization.

55929816933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 2374 counting only the distinct ones).

The product of its digits is 1984046400, while the sum is 76.

The spelling of 55929816933376 in words is "fifty-five trillion, nine hundred twenty-nine billion, eight hundred sixteen million, nine hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1024 1648 2269 3296 4538 6592 9076 10609 13184 18152 21218 26368 36304 42436 52736 72608 84872 105472 145216 169744 233707 290432 339488 467414 580864 678976 934828 1161728 1357952 1869656 2323456 2715904 3739312 5148361 5431808 7478624 10296722 10863616 14957248 20593444 24071821 29914496 41186888 48143642 59828992 82373776 96287284 119657984 164747552 192574568 239315968 329495104 385149136 530281183 658990208 770298272 1060562366 1317980416 1540596544 2121124732 2635960832 3081193088 4242249464 5271921664 6162386176 8484498928 12324772352 16968997856 24649544704 33937995712 54618961849 67875991424 109237923698 135751982848 218475847396 271503965696 436951694792 543007931392 873903389584 1747806779168 3495613558336 6991227116672 13982454233344 27964908466688 55929816933376