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154364210432 = 2819291397873
BaseRepresentation
bin1000111111000011010…
…0101110110100000000
3112202102220111101002222
42033300310232310000
510012114214213212
6154525224430212
714103201065555
oct2176064566400
9482386441088
10154364210432
115a513633033
1225b00318368
13117307911b3
147685230a2c
154036ce8c72
hex23f0d2ed00

154364210432 has 144 divisors (see below), whose sum is σ = 337983576000. Its totient is φ = 70081708032.

The previous prime is 154364210423. The next prime is 154364210449. The reversal of 154364210432 is 234012463451.

It is a junction number, because it is equal to n+sod(n) for n = 154364210392 and 154364210401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19602848 + ... + 19610720.

Almost surely, 2154364210432 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 154364210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168991788000).

154364210432 is an abundant number, since it is smaller than the sum of its proper divisors (183619365568).

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

154364210432 is a wasteful number, since it uses less digits than its factorization.

154364210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 154364210432 its reverse (234012463451), we get a palindrome (388376673883).

The spelling of 154364210432 in words is "one hundred fifty-four billion, three hundred sixty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 139 152 232 256 278 304 464 551 556 608 928 1102 1112 1216 1856 2204 2224 2432 2641 3712 4031 4408 4448 4864 5282 7424 7873 8062 8816 8896 10564 15746 16124 17632 17792 21128 31492 32248 35264 35584 42256 62984 64496 70528 76589 84512 125968 128992 141056 149587 153178 169024 228317 251936 257984 299174 306356 338048 456634 503872 515968 598348 612712 676096 913268 1007744 1031936 1094347 1196696 1225424 1826536 2015488 2188694 2393392 2450848 3653072 4338023 4377388 4786784 4901696 7306144 8676046 8754776 9573568 9803392 14612288 17352092 17509552 19147136 19606784 20792593 29224576 31736063 34704184 35019104 38294272 41585186 58449152 63472126 69408368 70038208 83170372 126944252 138816736 140076416 166340744 253888504 277633472 280152832 332681488 507777008 555266944 602985197 665362976 1015554016 1110533888 1205970394 1330725952 2031108032 2411940788 2661451904 4062216064 4823881576 5322903808 8124432128 9647763152 19295526304 38591052608 77182105216 154364210432