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120148197376 = 2186772
BaseRepresentation
bin110111111100101100…
…1000000000000000000
3102111010100000211002011
41233321121000000000
53432030414304001
6131110104502304
711452245553504
oct1577131000000
9374110024064
10120148197376
1146a55585a99
121b35147a994
13b439b0491c
145b5acc2304
1531d2ecad51
hex1bf9640000

120148197376 has 57 divisors (see below), whose sum is σ = 240651403009. Its totient is φ = 59985362944.

The previous prime is 120148197371. The next prime is 120148197427. The reversal of 120148197376 is 673791841021.

The square root of 120148197376 is 346624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119439360000 + 708837376 = 345600^2 + 26624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120148197371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 177471150 + ... + 177471826.

Almost surely, 2120148197376 is an apocalyptic number.

120148197376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120148197376 is the 346624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120148197376

120148197376 is an abundant number, since it is smaller than the sum of its proper divisors (120503205633).

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

120148197376 is an frugal number, since it uses more digits than its factorization.

120148197376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 120148197376 by its sum of digits (49), we get a square (5887261671424 = 24263682).

The spelling of 120148197376 in words is "one hundred twenty billion, one hundred forty-eight million, one hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 677 1024 1354 2048 2708 4096 5416 8192 10832 16384 21664 32768 43328 65536 86656 131072 173312 262144 346624 458329 693248 916658 1386496 1833316 2772992 3666632 5545984 7333264 11091968 14666528 22183936 29333056 44367872 58666112 88735744 117332224 177471488 234664448 469328896 938657792 1877315584 3754631168 7509262336 15018524672 30037049344 60074098688 120148197376