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235413065540 = 225971493472347
BaseRepresentation
bin1101101100111110110…
…1100100111101000100
3211111122100012210211102
43123033231210331010
512324111221044130
6300051450555232
723002520020022
oct3331755447504
9744570183742
10235413065540
11909245a1514
123975b438b18
1319278caa423
14b5733d3712
1561cc3e9645
hex36cfb64f44

235413065540 has 96 divisors (see below), whose sum is σ = 504480009600. Its totient is φ = 92262887424.

The previous prime is 235413065527. The next prime is 235413065557. The reversal of 235413065540 is 45560314532.

It is a super-2 number, since 2×2354130655402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235413065494 and 235413065503.

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, 100302647 + ... + 100304993.

It is an arithmetic number, because the mean of its divisors is an integer number (5255000100).

Almost surely, 2235413065540 is an apocalyptic number.

235413065540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235413065540 is an abundant number, since it is smaller than the sum of its proper divisors (269066944060).

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

235413065540 is a wasteful number, since it uses less digits than its factorization.

235413065540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 235413065540 in words is "two hundred thirty-five billion, four hundred thirteen million, sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 97 149 194 298 347 388 485 596 694 745 970 1388 1490 1735 1940 2347 2980 3470 4694 6940 9388 11735 14453 23470 28906 33659 46940 51703 57812 67318 72265 103406 134636 144530 168295 206812 227659 258515 289060 336590 349703 455318 517030 673180 699406 814409 910636 1034060 1138295 1398812 1628818 1748515 2276590 3257636 3497030 4072045 4553180 5015191 6994060 8144090 10030382 16288180 20060764 25075955 33921191 50151910 67842382 78997673 100303820 121346941 135684764 157995346 169605955 242693882 315990692 339211910 394988365 485387764 606734705 678423820 789976730 1213469410 1579953460 2426938820 11770653277 23541306554 47082613108 58853266385 117706532770 235413065540