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150556353136 = 24729711813607
BaseRepresentation
bin1000110000110111011…
…0111010001001110000
3112101121112100011220021
42030031312322021300
54431314411300021
6153055321053224
713606632613030
oct2141566721160
9471545304807
10150556353136
115893a155532
1225219027214
13112749055b7
1474036158c0
153db2879c41
hex230ddba270

150556353136 has 160 divisors (see below), whose sum is σ = 351757486080. Its totient is φ = 61065446400.

The previous prime is 150556353119. The next prime is 150556353149. The reversal of 150556353136 is 631353655051.

It is a super-2 number, since 2×1505563531362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150556353092 and 150556353101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41738245 + ... + 41741851.

It is an arithmetic number, because the mean of its divisors is an integer number (2198484288).

Almost surely, 2150556353136 is an apocalyptic number.

150556353136 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 150556353136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175878743040).

150556353136 is an abundant number, since it is smaller than the sum of its proper divisors (201201132944).

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

150556353136 is a wasteful number, since it uses less digits than its factorization.

150556353136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 43.

The spelling of 150556353136 in words is "one hundred fifty billion, five hundred fifty-six million, three hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 71 112 116 142 181 203 232 284 362 406 464 497 568 724 812 994 1136 1267 1448 1624 1988 2059 2534 2896 3248 3607 3976 4118 5068 5249 7214 7952 8236 10136 10498 12851 14413 14428 16472 20272 20996 25249 25702 28826 28856 32944 36743 41992 50498 51404 57652 57712 73486 83984 89957 100996 102808 104603 115304 146972 179914 201992 205616 209206 230608 256097 293944 359828 372679 403984 418412 512194 587888 652867 719656 732221 745358 836824 1024388 1305734 1439312 1464442 1490716 1673648 1792679 2048776 2608753 2611468 2928884 2981432 3585358 4097552 4570069 5217506 5222936 5857768 5962864 7170716 7426813 9140138 10435012 10445872 11715536 14341432 14853626 18280276 18933143 20870024 28682864 29707252 36560552 37866286 41740048 46353557 51987691 59414504 73121104 75732572 92707114 103975382 118829008 132532001 151465144 185414228 207950764 265064002 302930288 324474899 370828456 415901528 530128004 648949798 741656912 831803056 1060256008 1297899596 1344253153 2120512016 2595799192 2688506306 5191598384 5377012612 9409772071 10754025224 18819544142 21508050448 37639088284 75278176568 150556353136