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6601015055151 = 32112314721119717
BaseRepresentation
bin110000000001110101100…
…1010000101001100101111
3212101001101002101202021200
41200003223022011030233
51331122334323231101
622012244153300543
71250623210122516
oct140035312051457
925331332352250
106601015055151
112115524a01a00
128a73a2704753
1338b61c398c4a
1418b6c2bbd67d
15b6a92eac986
hex600eb28532f

6601015055151 has 144 divisors (see below), whose sum is σ = 11101583560704. Its totient is φ = 3771039888000.

The previous prime is 6601015055147. The next prime is 6601015055153. The reversal of 6601015055151 is 1515505101066.

It is a happy number.

6601015055151 is a `hidden beast` number, since 6 + 6 + 0 + 1 + 0 + 1 + 50 + 551 + 51 = 666.

It is not a de Polignac number, because 6601015055151 - 22 = 6601015055147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6601015055153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 334778145 + ... + 334797861.

Almost surely, 26601015055151 is an apocalyptic number.

6601015055151 is a deficient number, since it is larger than the sum of its proper divisors (4500568505553).

6601015055151 is a wasteful number, since it uses less digits than its factorization.

6601015055151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20034 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 6601015055151 in words is "six trillion, six hundred one billion, fifteen million, fifty-five thousand, one hundred fifty-one".

Divisors: 1 3 9 11 31 33 47 93 99 121 141 211 279 341 363 423 517 633 1023 1089 1457 1551 1899 2321 3069 3751 4371 4653 5687 6541 6963 9917 11253 13113 16027 17061 19623 19717 20889 25531 29751 33759 48081 51183 58869 59151 71951 76593 89253 109087 144243 176297 177453 215853 216887 229779 307427 327261 528891 611227 647559 650661 791461 922281 926699 981783 1199957 1586673 1833681 1951983 2374383 2385757 2766843 2780097 3381697 3599871 4160287 5501043 6723497 7123149 7157271 8340291 10145091 10193689 10799613 12480861 20170491 21471813 28727669 30435273 30581067 37198667 37442583 45763157 60511473 73958467 86183007 91743201 111596001 112130579 128968897 137289471 195533489 221875401 258549021 316004359 334788003 336391737 386906691 411868413 503394727 586600467 665626203 948013077 1009175211 1160720073 1418657867 1510184181 1759801401 2150868379 2844039231 3476047949 4255973601 4530552543 6061538159 6452605137 10428143847 12767920803 15605236537 18184614477 19357815411 23659552169 31284431541 46815709611 54553843431 66676919749 70978656507 140447128833 200030759247 212935969521 600092277741 733446117239 2200338351717 6601015055151