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153086401468 = 227111338233367
BaseRepresentation
bin1000111010010010101…
…0010001101110111100
3112122010212001221202001
42032210222101232330
510002010104321333
6154154340512044
714026423641160
oct2164452215674
9478125057661
10153086401468
1159a18312270
12258043ab624
1311588b25a10
1475a3648ca0
153eaea3db7d
hex23a4a91bbc

153086401468 has 48 divisors (see below), whose sum is σ = 359699526144. Its totient is φ = 55056047040.

The previous prime is 153086401409. The next prime is 153086401469. The reversal of 153086401468 is 864104680351.

153086401468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153086401469) 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 15 ways as a sum of consecutive naturals, for example, 19112680 + ... + 19120687.

It is an arithmetic number, because the mean of its divisors is an integer number (7493740128).

Almost surely, 2153086401468 is an apocalyptic number.

It is an amenable number.

153086401468 is an abundant number, since it is smaller than the sum of its proper divisors (206613124676).

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

153086401468 is a wasteful number, since it uses less digits than its factorization.

153086401468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38233402 (or 38233400 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 153086401468 in words is "one hundred fifty-three billion, eighty-six million, four hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 38233367 76466734 152933468 267633569 420567037 497033771 535267138 841134074 994067542 1070534276 1682268148 1988135084 2943969259 3479236397 5467371481 5887938518 6958472794 10934742962 11775877036 13916945588 21869485924 38271600367 76543200734 153086401468