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148980674976 = 2537631351343
BaseRepresentation
bin1000101010111111110…
…0001011000110100000
3112020112201102102210220
42022233330023012200
54420103023044401
6152235112523040
713522610562120
oct2125774130640
9466481372726
10148980674976
1158200786181
1224a593b0480
1311083337163
1472d4252c80
153d1e382336
hex22aff0b1a0

148980674976 has 96 divisors (see below), whose sum is σ = 447651606528. Its totient is φ = 42498328320.

The previous prime is 148980674939. The next prime is 148980674977. The reversal of 148980674976 is 679476089841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 148980674976.

It is not an unprimeable number, because it can be changed into a prime (148980674977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248361 + ... + 599703.

It is an arithmetic number, because the mean of its divisors is an integer number (4663037568).

Almost surely, 2148980674976 is an apocalyptic number.

148980674976 is a gapful number since it is divisible by the number (16) 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 148980674976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223825803264).

148980674976 is an abundant number, since it is smaller than the sum of its proper divisors (298670931552).

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

148980674976 is a wasteful number, since it uses less digits than its factorization.

148980674976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351994 (or 351986 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 148980674976 in words is "one hundred forty-eight billion, nine hundred eighty million, six hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 631 672 1262 1893 2524 3786 4417 5048 7572 8834 10096 13251 15144 17668 20192 26502 30288 35336 53004 60576 70672 106008 141344 212016 351343 424032 702686 1054029 1405372 2108058 2459401 2810744 4216116 4918802 5621488 7378203 8432232 9837604 11242976 14756406 16864464 19675208 29512812 33728928 39350416 59025624 78700832 118051248 221697433 236102496 443394866 665092299 886789732 1330184598 1551882031 1773579464 2660369196 3103764062 3547158928 4655646093 5320738392 6207528124 7094317856 9311292186 10641476784 12415056248 18622584372 21282953568 24830112496 37245168744 49660224992 74490337488 148980674976