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5051315456 = 28114167653
BaseRepresentation
bin1001011010001010…
…01111010100000000
3111001000221102010122
410231011033110000
540321114043311
62153123115412
7236114321135
oct45505172400
914030842118
105051315456
112162377080
12b8b812b68
13626687975
1435cc1c58c
151e86e10db
hex12d14f500

5051315456 has 144 divisors (see below), whose sum is σ = 11453496768. Its totient is φ = 2203238400.

The previous prime is 5051315447. The next prime is 5051315501. The reversal of 5051315456 is 6545131505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7735226 + ... + 7735878.

It is an arithmetic number, because the mean of its divisors is an integer number (79538172).

Almost surely, 25051315456 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 5051315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726748384).

5051315456 is an abundant number, since it is smaller than the sum of its proper divisors (6402181312).

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

5051315456 is a wasteful number, since it uses less digits than its factorization.

5051315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 5051315456 is about 71072.6069312221. The cubic root of 5051315456 is about 1715.8059270887.

The spelling of 5051315456 in words is "five billion, fifty-one million, three hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 67 82 88 128 134 164 176 256 268 328 352 451 536 653 656 704 737 902 1072 1306 1312 1408 1474 1804 2144 2612 2624 2747 2816 2948 3608 4288 5224 5248 5494 5896 7183 7216 8576 10448 10496 10988 11792 14366 14432 17152 20896 21976 23584 26773 28732 28864 30217 41792 43751 43952 47168 53546 57464 57728 60434 83584 87502 87904 94336 107092 114928 115456 120868 167168 175004 175808 188672 214184 229856 241736 294503 350008 351616 428368 459712 481261 483472 589006 700016 703232 856736 919424 962522 966944 1178012 1400032 1713472 1793791 1838848 1925044 1933888 2356024 2800064 3426944 3587582 3850088 3867776 4712048 5600128 6853888 7175164 7700176 7735552 9424096 11200256 14350328 15400352 18848192 19731701 28700656 30800704 37696384 39463402 57401312 61601408 75392768 78926804 114802624 123202816 157853608 229605248 315707216 459210496 631414432 1262828864 2525657728 5051315456