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153841709211136 = 2919121631300199
BaseRepresentation
bin100010111110101100010000…
…011011011101111000000000
3202011201010100020010021020221
4202332230100123131320000
5130131020310024224021
61303105523333112424
744255460653231242
oct4276542033357000
9664633306107227
10153841709211136
11450229a2228361
1215307679188714
1367ac29854aa6b
1429dbd9ac48092
1512bbb98a20241
hex8beb106dde00

153841709211136 has 80 divisors (see below), whose sum is σ = 323587847088000. Its totient is φ = 72866341214208.

The previous prime is 153841709211131. The next prime is 153841709211139. The reversal of 153841709211136 is 631112907148351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153841709211131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117671565 + ... + 118971763.

It is an arithmetic number, because the mean of its divisors is an integer number (4044848088600).

It is a 1-persistent number, because it is pandigital, but 2⋅153841709211136 = 307683418422272 is not.

Almost surely, 2153841709211136 is an apocalyptic number.

153841709211136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153841709211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161793923544000).

153841709211136 is an abundant number, since it is smaller than the sum of its proper divisors (169746137876864).

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

153841709211136 is a wasteful number, since it uses less digits than its factorization.

153841709211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312399 (or 1312383 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 153841709211136 in words is "one hundred fifty-three trillion, eight hundred forty-one billion, seven hundred nine million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 12163 24326 48652 97304 194608 231097 389216 462194 778432 924388 1300199 1556864 1848776 2600398 3113728 3697552 5200796 6227456 7395104 10401592 14790208 20803184 24703781 29580416 41606368 49407562 59160832 83212736 98815124 118321664 166425472 197630248 332850944 395260496 665701888 790520992 1581041984 3162083968 6324167936 12648335872 15814320437 31628640874 63257281748 126514563496 253029126992 300472088303 506058253984 600944176606 1012116507968 1201888353212 2024233015936 2403776706424 4048466031872 4807553412848 8096932063744 9615106825696 19230213651392 38460427302784 76920854605568 153841709211136