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332134990336 = 297989257359
BaseRepresentation
bin1001101010101001100…
…10011100001000000000
31011202022001120200021101
410311110302130020000
520420203024142321
6412325233304144
732665420556662
oct4652462341000
91152261520241
10332134990336
111189485a8156
1254453405054
13254216130a6
141210ad44532
15898d962791
hex4d54c9c200

332134990336 has 160 divisors (see below), whose sum is σ = 684116928000. Its totient is φ = 161042399232.

The previous prime is 332134990289. The next prime is 332134990361. The reversal of 332134990336 is 633099431233.

It is a super-2 number, since 2×3321349903362 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925166925 + ... + 925167283.

It is an arithmetic number, because the mean of its divisors is an integer number (4275730800).

Almost surely, 2332134990336 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 332134990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342058464000).

332134990336 is an abundant number, since it is smaller than the sum of its proper divisors (351981937664).

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

332134990336 is an equidigital number, since it uses as much as digits as its factorization.

332134990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 46.

The spelling of 332134990336 in words is "three hundred thirty-two billion, one hundred thirty-four million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 89 128 158 178 256 257 316 356 359 512 514 632 712 718 1028 1264 1424 1436 2056 2528 2848 2872 4112 5056 5696 5744 7031 8224 10112 11392 11488 14062 16448 20224 20303 22784 22873 22976 28124 28361 31951 32896 40448 40606 45568 45746 45952 56248 56722 63902 65792 81212 91492 91904 92263 112496 113444 127804 131584 162424 182984 183808 184526 224992 226888 255608 324848 365968 369052 449984 453776 511216 649696 731936 738104 899968 907552 1022432 1299392 1463872 1476208 1799936 1806967 1815104 2044864 2524129 2598784 2927744 2952416 3599872 3613934 3630208 4089728 5048258 5197568 5855488 5904832 7227868 7260416 7288777 8179456 8211407 10096516 10395136 11710976 11809664 14455736 14520832 14577554 16358912 16422814 20193032 23619328 28911472 29155108 32845628 40386064 47238656 57822944 58310216 65691256 80772128 115645888 116620432 131382512 161544256 231291776 233240864 262765024 323088512 462583552 466481728 525530048 646177024 648701153 925167104 932963456 1051060096 1292354048 1297402306 1865926912 2102120192 2594804612 3731853824 4204240384 5189609224 10379218448 20758436896 41516873792 83033747584 166067495168 332134990336