Search a number
-
+
1530915298008 = 23323101109125169
BaseRepresentation
bin10110010001110001101…
…010011001101011011000
312102100120010012222220220
4112101301222121223120
5200040303304014013
63131143123520040
7215414336216505
oct26216152315330
95370503188826
101530915298008
11540291858358
12208850529020
13b1498300255
145414d4944ac
1529c51522b23
hex16471a99ad8

1530915298008 has 128 divisors (see below), whose sum is σ = 4037090803200. Its totient is φ = 482822912000.

The previous prime is 1530915298001. The next prime is 1530915298019. The reversal of 1530915298008 is 8008925190351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530915298001) 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, 60812848 + ... + 60838016.

It is an arithmetic number, because the mean of its divisors is an integer number (31539771900).

Almost surely, 21530915298008 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 1530915298008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018545401600).

1530915298008 is an abundant number, since it is smaller than the sum of its proper divisors (2506175505192).

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

1530915298008 is a wasteful number, since it uses less digits than its factorization.

1530915298008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26393 (or 26389 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 1530915298008 in words is "one trillion, five hundred thirty billion, nine hundred fifteen million, two hundred ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 101 138 184 202 276 303 404 552 606 808 1091 1212 2182 2323 2424 3273 4364 4646 6546 6969 8728 9292 13092 13938 18584 25093 25169 26184 27876 50186 50338 55752 75279 75507 100372 100676 110191 150558 151014 200744 201352 220382 301116 302028 330573 440764 578887 602232 604056 661146 881528 1157774 1322292 1736661 2315548 2534393 2542069 2644584 3473322 4631096 5068786 5084138 6946644 7603179 7626207 10137572 10168276 13893288 15206358 15252414 20275144 20336552 27459379 30412716 30504828 54918758 58467587 60825432 61009656 82378137 109837516 116935174 164756274 175402761 219675032 233870348 329512548 350805522 467740696 631565717 659025096 701611044 1263131434 1403222088 1894697151 2526262868 2773397279 3789394302 5052525736 5546794558 7578788604 8320191837 11093589116 15157577208 16640383674 22187178232 33280767348 63788137417 66561534696 127576274834 191364412251 255152549668 382728824502 510305099336 765457649004 1530915298008