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1374978048 = 215371197
BaseRepresentation
bin101000111110100…
…1000000000000000
310112211021010021220
41101331020000000
510303443244143
6344234315040
746034056233
oct12175100000
93484233256
101374978048
116461593a4
12324588a80
1318bb2a5a2
14d087b41a
1580aa0d83
hex51f48000

1374978048 has 128 divisors (see below), whose sum is σ = 3737067840. Its totient is φ = 449576960.

The previous prime is 1374978047. The next prime is 1374978049. The reversal of 1374978048 is 8408794731.

It is an interprime number because it is at equal distance from previous prime (1374978047) and next prime (1374978049).

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

It is not an unprimeable number, because it can be changed into a prime (1374978041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6979486 + ... + 6979682.

Almost surely, 21374978048 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 1374978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868533920).

1374978048 is an abundant number, since it is smaller than the sum of its proper divisors (2362089792).

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

1374978048 is an frugal number, since it uses more digits than its factorization.

1374978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 1374978048 is about 37080.6964335893. The cubic root of 1374978048 is about 1111.9841275791.

The spelling of 1374978048 in words is "one billion, three hundred seventy-four million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 197 213 256 284 384 394 426 512 568 591 768 788 852 1024 1136 1182 1536 1576 1704 2048 2272 2364 3072 3152 3408 4096 4544 4728 6144 6304 6816 8192 9088 9456 12288 12608 13632 13987 16384 18176 18912 24576 25216 27264 27974 32768 36352 37824 41961 49152 50432 54528 55948 72704 75648 83922 98304 100864 109056 111896 145408 151296 167844 201728 218112 223792 290816 302592 335688 403456 436224 447584 581632 605184 671376 806912 872448 895168 1163264 1210368 1342752 1613824 1744896 1790336 2326528 2420736 2685504 3227648 3489792 3580672 4841472 5371008 6455296 6979584 7161344 9682944 10742016 14322688 19365888 21484032 28645376 42968064 57290752 85936128 114581504 171872256 229163008 343744512 458326016 687489024 1374978048