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153404426056 = 23717438774273
BaseRepresentation
bin1000111011011110011…
…1011100011101001000
3112122222000111021110111
42032313213130131020
510003133013113211
6154250101124104
714040335051440
oct2166747343510
9478860437414
10153404426056
115a070887902
12258929b9634
1311609994a4b
1475d3991120
153ecc90d421
hex23b79dc748

153404426056 has 128 divisors (see below), whose sum is σ = 356644442880. Its totient is φ = 60355362816.

The previous prime is 153404426041. The next prime is 153404426057. The reversal of 153404426056 is 650624404351.

It is not an unprimeable number, because it can be changed into a prime (153404426057) 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, 35898736 + ... + 35903008.

It is an arithmetic number, because the mean of its divisors is an integer number (2786284710).

Almost surely, 2153404426056 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 153404426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178322221440).

153404426056 is an abundant number, since it is smaller than the sum of its proper divisors (203240016824).

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

153404426056 is a wasteful number, since it uses less digits than its factorization.

153404426056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 153404426056 in words is "one hundred fifty-three billion, four hundred four million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 301 344 476 602 731 877 952 1204 1462 1754 2408 2924 3508 4273 5117 5848 6139 7016 8546 10234 12278 14909 17092 20468 24556 29818 29911 34184 37711 40936 49112 59636 59822 72641 75422 104363 119272 119644 145282 150844 183739 208726 239288 263977 290564 301688 367478 417452 508487 527954 581128 641087 734956 834904 1016974 1055908 1282174 1286173 1469912 2033948 2111816 2564348 2572346 3123563 3747421 4067896 4487609 5128696 5144692 6247126 7494842 8975218 10289384 12494252 14989684 17950436 21864941 24988504 26231947 29979368 35900872 43729882 52463894 63706157 87459764 104927788 127412314 161139103 174919528 209855576 254824628 322278206 445943099 509649256 644556412 891886198 1127973721 1289112824 1783772396 2255947442 2739364751 3567544792 4511894884 5478729502 9023789768 10957459004 19175553257 21914918008 38351106514 76702213028 153404426056