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149185979010 = 236535357973
BaseRepresentation
bin1000101011110000101…
…1010110001010000010
3112021002000201222000000
42022330023112022002
54421013102312020
6152311325140430
713530652620135
oct2127413261202
9467060658000
10149185979010
11582a6661132
1224ab60ba716
13110b6a2a733
14731361621c
153d323d8090
hex22bc2d6282

149185979010 has 112 divisors (see below), whose sum is σ = 403765488504. Its totient is φ = 39669543936.

The previous prime is 149185979009. The next prime is 149185979017. The reversal of 149185979010 is 10979581941.

149185979010 is a `hidden beast` number, since 1 + 49 + 1 + 8 + 597 + 9 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83822409441 + 65363569569 = 289521^2 + 255663^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149185979017) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2544384 + ... + 2602356.

Almost surely, 2149185979010 is an apocalyptic number.

149185979010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149185979010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201882744252).

149185979010 is an abundant number, since it is smaller than the sum of its proper divisors (254579509494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149185979010 is an equidigital number, since it uses as much as digits as its factorization.

149185979010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58351 (or 58336 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 149185979010 in words is "one hundred forty-nine billion, one hundred eighty-five million, nine hundred seventy-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 353 405 486 706 729 810 1059 1215 1458 1765 2118 2430 3177 3530 3645 5295 6354 7290 9531 10590 15885 19062 28593 31770 47655 57186 57973 85779 95310 115946 142965 171558 173919 257337 285930 289865 347838 428895 514674 521757 579730 857790 869595 1043514 1286685 1565271 1739190 2573370 2608785 3130542 4695813 5217570 7826355 9391626 14087439 15652710 20464469 23479065 28174878 40928938 42262317 46958130 61393407 70437195 84524634 102322345 122786814 140874390 184180221 204644690 211311585 306967035 368360442 422623170 552540663 613934070 920901105 1105081326 1657621989 1841802210 2762703315 3315243978 4972865967 5525406630 8288109945 9945731934 14918597901 16576219890 24864329835 29837195802 49728659670 74592989505 149185979010