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202430280485136 = 2431123115271446097
BaseRepresentation
bin101110000001101111111000…
…111101011100100100010000
3222112202010221022010022011210
4232001233320331130210100
5203013104203301011021
61554311104222340120
760432051026513424
oct5601577075344420
9875663838108153
10202430280485136
1159556221a95160
121a85441742a640
1388c512a680ac2
1437db96c054b84
151860a21ee5e76
hexb81bf8f5c910

202430280485136 has 160 divisors (see below), whose sum is σ = 595341100873728. Its totient is φ = 58670312785920.

The previous prime is 202430280485107. The next prime is 202430280485177. The reversal of 202430280485136 is 631584082034202.

202430280485136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 139260840 + ... + 140706936.

Almost surely, 2202430280485136 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 202430280485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297670550436864).

202430280485136 is an abundant number, since it is smaller than the sum of its proper divisors (392910820388592).

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

202430280485136 is a wasteful number, since it uses less digits than its factorization.

202430280485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457669 (or 1457663 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 202430280485136 in words is "two hundred two trillion, four hundred thirty billion, two hundred eighty million, four hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 11527 12144 23054 34581 46108 69162 92216 126797 138324 184432 253594 265121 276648 380391 507188 530242 553296 760782 795363 1014376 1060484 1446097 1521564 1590726 2028752 2120968 2892194 2916331 3043128 3181452 4241936 4338291 5784388 5832662 6086256 6362904 8676582 8748993 11568776 11665324 12725808 15907067 17353164 17497986 23137552 23330648 31814134 33260231 34706328 34995972 46661296 47721201 63628268 66520462 69412656 69991944 95442402 99780693 127256536 133040924 139983888 190884804 199561386 254513072 266081848 365862541 381769608 399122772 532163696 731725082 763539216 798245544 1097587623 1463450164 1596491088 2195175246 2926900328 4390350492 5853800656 8780700984 16669160119 17561401968 33338320238 50007480357 66676640476 100014960714 133353280952 183360761309 200029921428 266706561904 366721522618 383390682737 400059842856 550082283927 733443045236 766781365474 800119685712 1100164567854 1150172048211 1466886090472 1533562730948 2200329135708 2300344096422 2933772180944 3067125461896 4217297510107 4400658271416 4600688192844 6134250923792 8434595020214 8801316542832 9201376385688 12651892530321 16869190040428 18402752771376 25303785060642 33738380080856 50607570121284 67476760161712 101215140242568 202430280485136