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48719890152 = 23331932814159
BaseRepresentation
bin101101010111111011…
…101000011011101000
311122202101001212001000
4231113323220123220
51244234242441102
634214232155000
73343216143033
oct552773503350
9148671055030
1048719890152
111973112062a
129538238a60
1347957aa18b
14250270a01a
1514022d301c
hexb57ee86e8

48719890152 has 128 divisors (see below), whose sum is σ = 136551168000. Its totient is φ = 16094453760.

The previous prime is 48719890151. The next prime is 48719890157. The reversal of 48719890152 is 25109891784.

It is a happy number.

48719890152 is a `hidden beast` number, since 487 + 1 + 9 + 8 + 9 + 0 + 152 = 666.

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 (48719890151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11712249 + ... + 11716407.

It is an arithmetic number, because the mean of its divisors is an integer number (1066806000).

Almost surely, 248719890152 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 48719890152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275584000).

48719890152 is an abundant number, since it is smaller than the sum of its proper divisors (87831277848).

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

48719890152 is a wasteful number, since it uses less digits than its factorization.

48719890152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 48719890152 in words is "forty-eight billion, seven hundred nineteen million, eight hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 281 386 562 579 772 843 1124 1158 1544 1686 1737 2248 2316 2529 3372 3474 4159 4632 5058 5211 6744 6948 7587 8318 10116 10422 12477 13896 15174 16636 20232 20844 24954 30348 33272 37431 41688 49908 54233 60696 74862 99816 108466 112293 149724 162699 216932 224586 299448 325398 433864 449172 488097 650796 802687 898344 976194 1168679 1301592 1464291 1605374 1952388 2337358 2408061 2928582 3210748 3506037 3904776 4674716 4816122 5857164 6421496 7012074 7224183 9349432 9632244 10518111 11714328 14024148 14448366 19264488 21036222 21672549 28048296 28896732 31554333 42072444 43345098 57793464 63108666 84144888 86690196 126217332 173380392 225555047 252434664 451110094 676665141 902220188 1353330282 1804440376 2029995423 2706660564 4059990846 5413321128 6089986269 8119981692 12179972538 16239963384 24359945076 48719890152