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153234743104 = 26531571671723
BaseRepresentation
bin1000111010110110000…
…0001001111101000000
3112122112012012111012201
42032231200021331000
510002311043234404
6154221200202544
714033204553112
oct2165540117500
9478465174181
10153234743104
1159a94021563
1225846009454
13115b0793b31
1475b92213b2
153ebca91ca4
hex23ad809f40

153234743104 has 112 divisors (see below), whose sum is σ = 313834808448. Its totient is φ = 74202605568.

The previous prime is 153234743093. The next prime is 153234743107. The reversal of 153234743104 is 401347432351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153234743107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88933987 + ... + 88935709.

It is an arithmetic number, because the mean of its divisors is an integer number (2802096504).

Almost surely, 2153234743104 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 153234743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156917404224).

153234743104 is an abundant number, since it is smaller than the sum of its proper divisors (160600065344).

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

153234743104 is a wasteful number, since it uses less digits than its factorization.

153234743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 153234743104 in words is "one hundred fifty-three billion, two hundred thirty-four million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 157 167 212 314 334 424 628 668 848 1256 1336 1696 1723 2512 2672 3392 3446 5024 5344 6892 8321 8851 10048 10688 13784 16642 17702 26219 27568 33284 35404 52438 55136 66568 70808 91319 104876 110272 133136 141616 182638 209752 266272 270511 283232 287741 365276 419504 532544 541022 566464 575482 730552 839008 1082044 1150964 1389607 1461104 1678016 2164088 2301928 2779214 2922208 4328176 4603856 5558428 5844416 8656352 9207712 11116856 14337083 15250273 17312704 18415424 22233712 28674166 30500546 44467424 45175337 57348332 61001092 88934848 90350674 114696664 122002184 180701348 229393328 244004368 361402696 458786656 488008736 722805392 917573312 976017472 1445610784 2394292861 2891221568 4788585722 9577171444 19154342888 38308685776 76617371552 153234743104