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1373451648 = 27343223373
BaseRepresentation
bin101000111011101…
…0011010110000000
310112201101120110120
41101313103112000
510303100423043
6344141500240
746015101132
oct12167232600
93481346416
101373451648
11645306608
12323b71680
1318b7148aa
14d05a1052
158089d983
hex51dd3580

1373451648 has 128 divisors (see below), whose sum is σ = 3759866880. Its totient is φ = 443971584.

The previous prime is 1373451623. The next prime is 1373451659. The reversal of 1373451648 is 8461543731.

It is a happy number.

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

It is a congruent number.

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, 3681990 + ... + 3682362.

It is an arithmetic number, because the mean of its divisors is an integer number (29373960).

Almost surely, 21373451648 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 1373451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879933440).

1373451648 is an abundant number, since it is smaller than the sum of its proper divisors (2386415232).

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

1373451648 is a wasteful number, since it uses less digits than its factorization.

1373451648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 1373451648 is about 37060.1085805209. The cubic root of 1373451648 is about 1111.5724940874.

The spelling of 1373451648 in words is "one billion, three hundred seventy-three million, four hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 223 258 344 373 384 446 516 669 688 746 892 1032 1119 1338 1376 1492 1784 2064 2238 2676 2752 2984 3568 4128 4476 5352 5504 5968 7136 8256 8952 9589 10704 11936 14272 16039 16512 17904 19178 21408 23872 28544 28767 32078 35808 38356 42816 47744 48117 57534 64156 71616 76712 83179 85632 96234 115068 128312 143232 153424 166358 192468 230136 249537 256624 306848 332716 384936 460272 499074 513248 613696 665432 769872 920544 998148 1026496 1227392 1330864 1539744 1841088 1996296 2052992 2661728 3079488 3576697 3682176 3992592 5323456 6158976 7153394 7985184 10646912 10730091 14306788 15970368 21460182 28613576 31940736 42920364 57227152 85840728 114454304 171681456 228908608 343362912 457817216 686725824 1373451648