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1999506155004 = 22323714911518753
BaseRepresentation
bin11101000110001011110…
…110101010010111111100
321002011002000120220222200
4131012023312222113330
5230224442033430004
64130321020111500
7264313424614521
oct35061366522774
97064060526880
101999506155004
11700a93108826
12283626695590
131167251559b7
146cac305b148
153702997d239
hex1d18bdaa5fc

1999506155004 has 144 divisors (see below), whose sum is σ = 5230886169600. Its totient is φ = 643503052800.

The previous prime is 1999506154979. The next prime is 1999506155039. The reversal of 1999506155004 is 4005516059991.

1999506155004 is a `hidden beast` number, since 19 + 9 + 9 + 5 + 0 + 615 + 5 + 0 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228432292 + ... + 228441044.

It is an arithmetic number, because the mean of its divisors is an integer number (36325598400).

Almost surely, 21999506155004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999506155004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615443084800).

1999506155004 is an abundant number, since it is smaller than the sum of its proper divisors (3231380014596).

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

1999506155004 is a wasteful number, since it uses less digits than its factorization.

1999506155004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 54.

The spelling of 1999506155004 in words is "one trillion, nine hundred ninety-nine billion, five hundred six million, one hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 149 222 298 333 444 447 596 666 894 1151 1332 1341 1788 2302 2682 3453 4604 5364 5513 6906 8753 10359 11026 13812 16539 17506 20718 22052 26259 33078 35012 41436 42587 49617 52518 66156 78777 85174 99234 105036 127761 157554 170348 171499 198468 255522 315108 323861 342998 383283 511044 514497 647722 685996 766566 971583 1028994 1295444 1304197 1533132 1543491 1943166 2057988 2608394 2914749 3086982 3886332 3912591 5216788 5829498 6173964 6345463 7825182 10074703 11658996 11737773 12690926 15650364 19036389 20149406 23475546 25381852 30224109 38072778 40298812 46951092 48255289 57109167 60448218 76145556 90672327 96510578 114218334 120896436 144765867 181344654 193021156 228436668 289531734 362689308 372764011 434297601 579063468 745528022 868595202 1118292033 1491056044 1501130747 1737190404 2236584066 3002261494 3354876099 4473168132 4503392241 6004522988 6709752198 9006784482 13419504396 13510176723 18013568964 27020353446 54040706892 55541837639 111083675278 166625512917 222167350556 333251025834 499876538751 666502051668 999753077502 1999506155004