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148190232192 = 2731135715981
BaseRepresentation
bin1000101000000011010…
…0110111111010000000
3112011111122001210011020
42022000310313322000
54411443144412232
6152024434545440
713464202122162
oct2120064677200
9464448053136
10148190232192
1157935582882
1224878738280
1310c8864c432
14725b294932
153cc4c96e2c
hex2280d37e80

148190232192 has 128 divisors (see below), whose sum is σ = 397875741120. Its totient is φ = 48865689600.

The previous prime is 148190232181. The next prime is 148190232259. The reversal of 148190232192 is 291232091841.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24773842 + ... + 24779822.

Almost surely, 2148190232192 is an apocalyptic number.

148190232192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148190232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198937870560).

148190232192 is an abundant number, since it is smaller than the sum of its proper divisors (249685508928).

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

148190232192 is a wasteful number, since it uses less digits than its factorization.

148190232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 148190232192 in words is "one hundred forty-eight billion, one hundred ninety million, two hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 571 678 904 1142 1356 1713 1808 2284 2712 3426 3616 4568 5424 5981 6852 7232 9136 10848 11962 13704 14464 17943 18272 21696 23924 27408 35886 36544 43392 47848 54816 64523 71772 73088 95696 109632 129046 143544 191392 193569 219264 258092 287088 382784 387138 516184 574176 675853 765568 774276 1032368 1148352 1351706 1548552 2027559 2064736 2296704 2703412 3097104 3415151 4055118 4129472 5406824 6194208 6830302 8110236 8258944 10245453 10813648 12388416 13660604 16220472 20490906 21627296 24776832 27321208 32440944 40981812 43254592 54642416 64881888 81963624 86509184 109284832 129763776 163927248 218569664 259527552 327854496 385912063 437139328 655708992 771824126 1157736189 1311417984 1543648252 2315472378 3087296504 4630944756 6174593008 9261889512 12349186016 18523779024 24698372032 37047558048 49396744064 74095116096 148190232192