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1373423616 = 21132269277
BaseRepresentation
bin101000111011100…
…1100100000000000
310112201100011000100
41101313030200000
510303044023431
6344141122400
746014623325
oct12167144000
93481304010
101373423616
11645297544
12323b59400
1318b704bc6
14d0594b4c
15808954e6
hex51dcc800

1373423616 has 144 divisors (see below), whose sum is σ = 3995819100. Its totient is φ = 454459392.

The previous prime is 1373423599. The next prime is 1373423651. The reversal of 1373423616 is 6163243731.

1373423616 is a `hidden beast` number, since 1 + 3 + 7 + 34 + 2 + 3 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1122518016 + 250905600 = 33504^2 + 15840^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4958070 + ... + 4958346.

Almost surely, 21373423616 is an apocalyptic number.

1373423616 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 1373423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997909550).

1373423616 is an abundant number, since it is smaller than the sum of its proper divisors (2622395484).

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

1373423616 is a wasteful number, since it uses less digits than its factorization.

1373423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1373423616 is about 37059.7303821817. The cubic root of 1373423616 is about 1111.5649316777.

The spelling of 1373423616 in words is "one billion, three hundred seventy-three million, four hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 269 277 288 384 512 538 554 576 768 807 831 1024 1076 1108 1152 1536 1614 1662 2048 2152 2216 2304 2421 2493 3072 3228 3324 4304 4432 4608 4842 4986 6144 6456 6648 8608 8864 9216 9684 9972 12912 13296 17216 17728 18432 19368 19944 25824 26592 34432 35456 38736 39888 51648 53184 68864 70912 74513 77472 79776 103296 106368 137728 141824 149026 154944 159552 206592 212736 223539 275456 283648 298052 309888 319104 413184 425472 447078 550912 567296 596104 619776 638208 670617 826368 850944 894156 1192208 1239552 1276416 1341234 1652736 1701888 1788312 2384416 2479104 2552832 2682468 3576624 4768832 4958208 5105664 5364936 7153248 9537664 10729872 14306496 19075328 21459744 28612992 38150656 42919488 57225984 76301312 85838976 114451968 152602624 171677952 228903936 343355904 457807872 686711808 1373423616