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212425813677 = 37112192367631
BaseRepresentation
bin1100010111010110010…
…0001010111010101101
3202022022022122102101210
43011311210022322231
511440022002014202
6241330450225033
721230052424020
oct3056544127255
9668268572353
10212425813677
11820a8919a00
1235204b85179
131705476294c
14a3d24a31b7
1557d42a6c6c
hex317590aead

212425813677 has 144 divisors (see below), whose sum is σ = 377130356736. Its totient is φ = 104093035200.

The previous prime is 212425813667. The next prime is 212425813681. The reversal of 212425813677 is 776318524212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-212425813677 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212425813637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336649152 + ... + 336649782.

Almost surely, 2212425813677 is an apocalyptic number.

It is an amenable number.

212425813677 is a deficient number, since it is larger than the sum of its proper divisors (164704543059).

212425813677 is a wasteful number, since it uses less digits than its factorization.

212425813677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1038 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 212425813677 in words is "two hundred twelve billion, four hundred twenty-five million, eight hundred thirteen thousand, six hundred seventy-seven".

Divisors: 1 3 7 11 19 21 33 57 77 121 133 209 231 361 363 367 399 627 631 847 1083 1101 1463 1893 2299 2527 2541 2569 3971 4037 4389 4417 6897 6941 6973 7581 7707 11913 11989 12111 13251 16093 20823 20919 27797 28259 35967 43681 44407 48279 48587 48811 76351 76703 83391 83923 84777 131043 131879 132487 133221 145761 146433 227791 229053 230109 231577 251769 305767 310849 395637 397461 534457 536921 683373 694731 843733 917301 923153 927409 932547 1450669 1457357 1594537 1603371 1610763 1621039 2505701 2531199 2547347 2769459 2782227 4352007 4372071 4399963 4783611 4863117 5906131 7517103 7642041 10154683 10201499 13199889 16030927 17539907 17718393 17831429 27562711 28020817 30464049 30604497 30799741 48092781 48399593 52619721 53494287 82688133 83599297 84062451 92399223 112216489 145198779 192938977 196145719 250797891 336649467 338797151 532395523 578816931 585195079 588437157 919592267 1016391453 1597186569 1755585237 2758776801 3726768661 6437145869 10115514937 11180305983 19311437607 30346544811 70808604559 212425813677