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11946679555629 = 37131931145950923
BaseRepresentation
bin1010110111011000110110…
…0101110101011000101101
31120022002110122020212210110
42231312031211311120231
53031213244431240004
641224121231530233
72342055566504640
oct255661545653055
946262418225713
1011946679555629
113896616183855
12140b41a989979
1368874aa600a0
142d43182ada57
1515ab61cda589
hexadd8d97562d

11946679555629 has 128 divisors (see below), whose sum is σ = 21317356748800. Its totient is φ = 5773234901760.

The previous prime is 11946679555627. The next prime is 11946679555637. The reversal of 11946679555629 is 92655597664911.

It is not a de Polignac number, because 11946679555629 - 21 = 11946679555627 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946679555627) 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, 234577362 + ... + 234628284.

It is an arithmetic number, because the mean of its divisors is an integer number (166541849600).

Almost surely, 211946679555629 is an apocalyptic number.

11946679555629 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11946679555629 is a deficient number, since it is larger than the sum of its proper divisors (9370677193171).

11946679555629 is a wasteful number, since it uses less digits than its factorization.

11946679555629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52455.

The product of its digits is 1102248000, while the sum is 75.

The spelling of 11946679555629 in words is "eleven trillion, nine hundred forty-six billion, six hundred seventy-nine million, five hundred fifty-five thousand, six hundred twenty-nine".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 133 217 247 273 399 403 589 651 741 1209 1459 1729 1767 2821 4123 4377 5187 7657 8463 10213 12369 18967 22971 27721 30639 45229 50923 53599 56901 83163 132769 135687 152769 160797 194047 316603 356461 360373 398307 582141 587977 661999 859351 949809 967537 1069383 1081119 1578613 1763931 1985997 2522611 2578053 2902611 4115839 4633993 4735839 6015457 6772759 7567833 11050291 11171563 12347517 12577981 13901979 18046371 20318277 20521969 29993647 33150873 33514689 37733943 61565907 74296657 78200941 88045867 89980941 143653783 209955529 222889971 234602823 264137601 389917411 430961349 520076599 629866587 965856541 1169752233 1411636483 1560229797 2303196367 2729421877 2897569623 4234909449 6760995787 6909589101 8188265631 9881455381 16122374569 18351274279 20282987361 29644366143 29941552771 43760730973 48367123707 55053822837 89824658313 128458919953 131282192919 209590869397 306325116811 385376759859 568889502649 628772608191 918975350433 1706668507947 3982226518543 11946679555629