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2057063472 = 243361251311
BaseRepresentation
bin111101010011100…
…0100110000110000
312022100201122121000
41322213010300300
513203102012342
6540042002000
7101655515412
oct17247046060
95270648530
102057063472
11966182262
12494aa6300
1326a236829
141572b09b2
15c08d544c
hex7a9c4c30

2057063472 has 160 divisors (see below), whose sum is σ = 6044613120. Its totient is φ = 669600000.

The previous prime is 2057063447. The next prime is 2057063483. The reversal of 2057063472 is 2743607502.

It is a happy number.

2057063472 is a `hidden beast` number, since 20 + 570 + 63 + 4 + 7 + 2 = 666.

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

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, 6614197 + ... + 6614507.

It is an arithmetic number, because the mean of its divisors is an integer number (37778832).

Almost surely, 22057063472 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 2057063472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

2057063472 is an abundant number, since it is smaller than the sum of its proper divisors (3987549648).

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

2057063472 is a wasteful number, since it uses less digits than its factorization.

2057063472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2057063472 is about 45354.8616137234. The cubic root of 2057063472 is about 1271.7914396399.

The spelling of 2057063472 in words is "two billion, fifty-seven million, sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 251 311 366 432 488 502 549 622 732 753 933 976 1004 1098 1244 1464 1506 1647 1866 2008 2196 2259 2488 2799 2928 3012 3294 3732 4016 4392 4518 4976 5598 6024 6588 6777 7464 8397 8784 9036 11196 12048 13176 13554 14928 15311 16794 18072 18971 22392 26352 27108 30622 33588 36144 37942 44784 45933 54216 56913 61244 67176 75884 78061 91866 108432 113826 122488 134352 137799 151768 156122 170739 183732 227652 234183 244976 275598 303536 312244 341478 367464 413397 455304 468366 512217 551196 624488 682956 702549 734928 826794 910608 936732 1024434 1102392 1248976 1365912 1405098 1653588 1873464 2048868 2107647 2204784 2731824 2810196 3307176 3746928 4097736 4215294 4761721 5620392 6614352 8195472 8430588 9523442 11240784 14285163 16861176 19046884 28570326 33722352 38093768 42855489 57140652 76187536 85710978 114281304 128566467 171421956 228562608 257132934 342843912 514265868 685687824 1028531736 2057063472