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106652818561835 = 57213277929130127
BaseRepresentation
bin11000010000000000001011…
…010111010101101100101011
3111222121220120022011002021002
4120100000023113111230223
5102434344433022434320
61014455343425105215
731315261160651600
oct3020001327255453
9458556508132232
10106652818561835
1130a8a22a710417
12bb6604518820b
134768418acbb10
141c4a049a6c6a7
15c4e44061e675
hex61000b5d5b2b

106652818561835 has 96 divisors (see below), whose sum is σ = 161084087458560. Its totient is φ = 67191086850048.

The previous prime is 106652818561813. The next prime is 106652818561937. The reversal of 106652818561835 is 538165818256601.

It is a happy number.

It is not a de Polignac number, because 106652818561835 - 210 = 106652818560811 is a prime.

It is a super-2 number, since 2×1066528185618352 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 819540542 + ... + 819670668.

It is an arithmetic number, because the mean of its divisors is an integer number (1677959244360).

Almost surely, 2106652818561835 is an apocalyptic number.

106652818561835 is a deficient number, since it is larger than the sum of its proper divisors (54431268896725).

106652818561835 is a wasteful number, since it uses less digits than its factorization.

106652818561835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131365 (or 131358 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 65.

The spelling of 106652818561835 in words is "one hundred six trillion, six hundred fifty-two billion, eight hundred eighteen million, five hundred sixty-one thousand, eight hundred thirty-five".

Divisors: 1 5 7 13 35 49 65 91 245 277 455 637 929 1385 1939 3185 3601 4645 6503 9695 12077 13573 18005 25207 32515 45521 60385 67865 84539 126035 130127 176449 227605 257333 422695 591773 650635 882245 910889 1286665 1691651 1801331 2958865 3345329 4554445 6376223 8458255 9006655 11841557 12609317 16726645 23417303 31881115 36045179 59207785 63046585 82890899 117086515 120887983 163921121 180225895 252316253 414454495 468587327 604439915 819605605 846215881 1261581265 1571543779 1766213771 2342936635 3280111289 4231079405 5923511167 7857718895 8831068855 11000806453 16400556445 22960779023 29617555835 33485971291 55004032265 77005645171 114803895115 167429856455 234401799037 385028225855 435317626783 1172008995185 1640812593259 2176588133915 3047223387481 8204062966295 15236116937405 21330563712367 106652818561835