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51406247040 = 273533438009
BaseRepresentation
bin101111111000000011…
…010001010010000000
311220200120220220220120
4233320003101102000
51320234444401130
635340554140240
73466615614231
oct577003212200
9156616826816
1051406247040
111a88a539295
129b67a21680
134b031c7a75
1426b93cb088
15150d070910
hexbf80d1480

51406247040 has 128 divisors (see below), whose sum is σ = 163926892800. Its totient is φ = 13702520832.

The previous prime is 51406247033. The next prime is 51406247047. The reversal of 51406247040 is 4074260415.

It is an interprime number because it is at equal distance from previous prime (51406247033) and next prime (51406247047).

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

It is a junction number, because it is equal to n+sod(n) for n = 51406246992 and 51406247010.

It is not an unprimeable number, because it can be changed into a prime (51406247047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414556 + ... + 6422564.

It is an arithmetic number, because the mean of its divisors is an integer number (1280678850).

Almost surely, 251406247040 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 51406247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81963446400).

51406247040 is an abundant number, since it is smaller than the sum of its proper divisors (112520645760).

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

51406247040 is a wasteful number, since it uses less digits than its factorization.

51406247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 51406247040 in words is "fifty-one billion, four hundred six million, two hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3343 6686 8009 10029 13372 16018 16715 20058 24027 26744 32036 33430 40045 40116 48054 50145 53488 64072 66860 80090 80232 96108 100290 106976 120135 128144 133720 160180 160464 192216 200580 213952 240270 256288 267440 320360 320928 384432 401160 427904 480540 512576 534880 640720 641856 768864 802320 961080 1025152 1069760 1281440 1283712 1537728 1604640 1922160 2139520 2562880 3075456 3209280 3844320 5125760 6418560 7688640 15377280 26774087 53548174 80322261 107096348 133870435 160644522 214192696 267740870 321289044 401611305 428385392 535481740 642578088 803222610 856770784 1070963480 1285156176 1606445220 1713541568 2141926960 2570312352 3212890440 3427083136 4283853920 5140624704 6425780880 8567707840 10281249408 12851561760 17135415680 25703123520 51406247040