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5451254016 = 283134711617
BaseRepresentation
bin1010001001110101…
…11000100100000000
3112001220111101200220
411010322320210000
542131010112031
62300531143040
7252041615565
oct50472704400
915056441626
105451254016
1123480aa90a
121081744a80
1368b4a72c0
14399da886c
1521d891596
hex144eb8900

5451254016 has 144 divisors (see below), whose sum is σ = 15958113024. Its totient is φ = 1641480192.

The previous prime is 5451253999. The next prime is 5451254041. The reversal of 5451254016 is 6104521545.

It is a super-2 number, since 2×54512540162 = 59432340693912256512, which contains 22 as substring.

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, 463440 + ... + 475056.

Almost surely, 25451254016 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 5451254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979056512).

5451254016 is an abundant number, since it is smaller than the sum of its proper divisors (10506859008).

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

5451254016 is a wasteful number, since it uses less digits than its factorization.

5451254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696 (or 11682 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5451254016 is about 73832.6080807119. The cubic root of 5451254016 is about 1759.9438274083.

The spelling of 5451254016 in words is "five billion, four hundred fifty-one million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 256 282 312 376 384 416 564 611 624 752 768 832 1128 1222 1248 1504 1664 1833 2256 2444 2496 3008 3328 3666 4512 4888 4992 6016 7332 9024 9776 9984 11617 12032 14664 18048 19552 23234 29328 34851 36096 39104 46468 58656 69702 78208 92936 117312 139404 151021 156416 185872 234624 278808 302042 371744 453063 469248 545999 557616 604084 743488 906126 1091998 1115232 1208168 1486976 1637997 1812252 2183996 2230464 2416336 2973952 3275994 3624504 4367992 4460928 4832672 6551988 7097987 7249008 8735984 8921856 9665344 13103976 14195974 14498016 17471968 19330688 21293961 26207952 28391948 28996032 34943936 38661376 42587922 52415904 56783896 57992064 69887872 85175844 104831808 113567792 115984128 139775744 170351688 209663616 227135584 340703376 419327232 454271168 681406752 908542336 1362813504 1817084672 2725627008 5451254016