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5078379904 = 27137397431
BaseRepresentation
bin1001011101011000…
…11110110110000000
3111002220212102120121
410232230132312000
540400031124104
62155531150024
7236563342213
oct45654366600
914086772517
105078379904
112176681a94
12b988a5314
1362c172730
1436266577a
151eac8a254
hex12eb1ed80

5078379904 has 128 divisors (see below), whose sum is σ = 11184324480. Its totient is φ = 2282618880.

The previous prime is 5078379871. The next prime is 5078379923. The reversal of 5078379904 is 4099738705.

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

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 11782569 + ... + 11782999.

It is an arithmetic number, because the mean of its divisors is an integer number (87377535).

Almost surely, 25078379904 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 5078379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592162240).

5078379904 is an abundant number, since it is smaller than the sum of its proper divisors (6105944576).

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

5078379904 is a wasteful number, since it uses less digits than its factorization.

5078379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 5078379904 is about 71262.7525710311. The cubic root of 5078379904 is about 1718.8648432018.

The spelling of 5078379904 in words is "five billion, seventy-eight million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 97 104 128 146 194 208 292 388 416 431 584 776 832 862 949 1168 1261 1552 1664 1724 1898 2336 2522 3104 3448 3796 4672 5044 5603 6208 6896 7081 7592 9344 10088 11206 12416 13792 14162 15184 20176 22412 27584 28324 30368 31463 40352 41807 44824 55168 56648 60736 62926 80704 83614 89648 92053 113296 121472 125852 161408 167228 179296 184106 226592 251704 334456 358592 368212 409019 453184 503408 543491 668912 717184 736424 818038 906368 1006816 1086982 1337824 1472848 1636076 2013632 2173964 2675648 2945696 3051911 3272152 4027264 4347928 5351296 5891392 6103822 6544304 8695856 11782784 12207644 13088608 17391712 24415288 26177216 34783424 39674843 48830576 52354432 69566848 79349686 97661152 158699372 195322304 317398744 390644608 634797488 1269594976 2539189952 5078379904