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51054106224 = 24311974632153
BaseRepresentation
bin101111100011000011…
…111101011001110000
311212210001022022112010
4233203003331121300
51314024322344344
635242014402520
73455111512512
oct574303753160
9155701268463
1051054106224
111a719791720
129a89b00440
134a78272314
142684723bb2
1514dc1b28b9
hexbe30fd670

51054106224 has 160 divisors (see below), whose sum is σ = 145744671744. Its totient is φ = 15271280640.

The previous prime is 51054106193. The next prime is 51054106231. The reversal of 51054106224 is 42260145015.

It is a junction number, because it is equal to n+sod(n) for n = 51054106191 and 51054106200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23711932 + ... + 23714084.

Almost surely, 251054106224 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 51054106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72872335872).

51054106224 is an abundant number, since it is smaller than the sum of its proper divisors (94690565520).

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

51054106224 is a wasteful number, since it uses less digits than its factorization.

51054106224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 51054106224 in words is "fifty-one billion, fifty-four million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 463 528 582 776 926 1067 1164 1389 1552 1852 2134 2153 2328 2778 3201 3704 4268 4306 4656 5093 5556 6402 6459 7408 8536 8612 10186 11112 12804 12918 15279 17072 17224 20372 22224 23683 25608 25836 30558 34448 40744 44911 47366 51216 51672 61116 71049 81488 89822 94732 103344 122232 134733 142098 179644 189464 208841 244464 269466 284196 359288 378928 417682 494021 538932 568392 626523 718576 835364 988042 996839 1077864 1136784 1253046 1482063 1670728 1976084 1993678 2155728 2297251 2506092 2964126 2990517 3341456 3952168 3987356 4594502 5012184 5928252 5981034 6891753 7904336 7974712 9189004 10024368 10965229 11856504 11962068 13783506 15949424 18378008 21930458 23713008 23924136 27567012 32895687 36756016 43860916 47848272 55134024 65791374 87721832 96693383 110268048 131582748 175443664 193386766 263165496 290080149 386773532 526330992 580160298 773547064 1063627213 1160320596 1547094128 2127254426 2320641192 3190881639 4254508852 4641282384 6381763278 8509017704 12763526556 17018035408 25527053112 51054106224