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106630143556497 = 311191032578877243
BaseRepresentation
bin11000001111101011000011…
…110101000011101110010001
3111222112202001001010110112120
4120033223003311003232101
5102434012013222301442
61014441113421044453
731313526234412401
oct3017530365035621
9458482031113476
10106630143556497
1130a80654217290
12bb617773b6729
13476624417c3b2
141c48cd83bc801
15c4da64b094ec
hex60fac3d43b91

106630143556497 has 128 divisors (see below), whose sum is σ = 165697396899840. Its totient is φ = 60316326051840.

The previous prime is 106630143556487. The next prime is 106630143556513. The reversal of 106630143556497 is 794655341036601.

It is not a de Polignac number, because 106630143556497 - 24 = 106630143556481 is a prime.

It is a super-2 number, since 2×1066301435564972 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106630143556497.

It is not an unprimeable number, because it can be changed into a prime (106630143556487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14721816558 + ... + 14721823800.

It is an arithmetic number, because the mean of its divisors is an integer number (1294510913280).

Almost surely, 2106630143556497 is an apocalyptic number.

It is an amenable number.

106630143556497 is a deficient number, since it is larger than the sum of its proper divisors (59067253343343).

106630143556497 is a wasteful number, since it uses less digits than its factorization.

106630143556497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523.

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 106630143556497 in words is "one hundred six trillion, six hundred thirty billion, one hundred forty-three million, five hundred fifty-six thousand, four hundred ninety-seven".

Divisors: 1 3 11 19 33 57 103 209 257 309 627 771 887 1133 1957 2661 2827 3399 4883 5871 7243 8481 9757 14649 16853 21527 21729 26471 29271 50559 53713 64581 79413 79673 91361 137617 161139 185383 227959 239019 274083 291181 412851 502949 556149 683877 746029 873543 1004971 1508847 1513787 1735859 1861451 2238087 2507549 3014913 4331221 4541361 5207577 5532439 5584353 6424541 7522647 8206319 12993663 14174551 16597317 19094449 19273623 20475961 23479777 24618957 35367569 42523653 47643431 57283347 61427883 70439331 70669951 106102707 122066279 142930293 155920061 191729453 212009853 258277547 366198837 389043259 446115763 467760183 575188359 661727723 774832641 1167129777 1338347289 1342729069 1651107037 1985183169 2109023983 3642859607 4028187207 4907273393 4953321111 6327071949 7279004953 10928578821 12572826737 14721820179 18162177407 21837014859 31371033703 37718480211 40071455677 54486532221 94113101109 120214367031 138301094107 170064024811 345081370733 414903282321 510192074433 1035244112199 1870704272921 3231216471409 5612112818763 9693649414227 35543381185499 106630143556497